Find the point-slope equation of the line with slope -3 that passes
through the point (2, -10).

Answers

Answer 1

Answer:

Step-by-step explanation

(-y-y1)/(x-x1)= m

y-(-10)/(x-2)= -3

y= -3x -4

Answer 2

Answer:

[tex]y+10=-3(x-2)[/tex]

Step-by-step explanation:

First we must know the format of point-slope form.

This would be: [tex]y-y1 = m (x-x1)[/tex]

Given x = 2, y = -10, and that our slope MUST be -3

Lets solve for "b" in the slope-intercept form using the variables provided to us. Remember that slope-intercept form is: [tex]y=mx+b[/tex]  where "m" is the slope.

-10 = -3(2) + b

-10 = -6 + b

-4 = b

Congrats! We now have our b variable, which means we can write out our slope-intercept form for our equation. This would be:  [tex]y=-3x-4[/tex]

We aren't done though, we now must convert this into point-slope form! Remember that x = 2 and y = -10

Lets plug in -3 for the "m" spot, -10 for the "y1" spot, and 2 for the "x1" spot in the point-slope equation.

[tex]y+10=-3(x-2)[/tex]

(Why are we adding 10 instead of subtracting you might ask? Remeber that two negatives equal a positive; when we plugged in -10 into the "y1" spot it was already negative, it would essentially be this:  [tex]y - (-10)[/tex]  which turns into a positive!)

Huzzah! We now have our equation in point-slope form which is equivalent to: [tex]y=-3x-4[/tex]

Feel free to check on the Desmos graphing calculator if you wish!

If you have any questions feel free to ask! Hope this helped!


Related Questions

Which equation matches the graph of the greatest integer function given
below?

Answers

Answer:  

D. y = [x] - 2

Explanation:  

The Greatest Integer Function is denoted by y = [x].

     For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest lowest integer.

         In the plot of y = [x], the plot starts from origin because y = [0] = 0.

                      But, in the question, all the lines are shifted 2 units downward, as it starts from (0, -2).

i.e for every values of x, y moves two units down

                               So our answer is y = [x] - 2.

(Information reworded from "InesWalston" who is another user on Brainly when they responded to the same question!)

                             Hope this helps, good luck! :D

[ SIDE NOTE: Someone else said that it is y=[x]-4, so I am not 100% sure! ]

School started at 9:15am. After two period lasting 50min each, children had a break. At what time was the break?

Answers

Answer:

10:55

Step-by-step explanation:

9:15/10:05/10:55

Answer:

10:55 AM

Step-by-step explanation:

50 minutes + 50 minutes = 100 minutes

9:15 am + 100 minutes = 10:55 AM

Find the slope and y-intercept for this table.​

Answers

Answer:

Slope is -5 and y-intercept is 90.

Step-by-step explanation:

Use the two values that you circles (4, 70) and (6, 60) .

slope (m) = the change in y-value/ (the change in the x-values).

m = (70 - 60)/(4 - 6) = 10/-2  = -5

The y-intercept is the value of "b" in the equation y = mx + b.

 Using  y = mx + b,  substitute the value m and use point of your points (4, 70).

   y = mx + b

   70 = -5(4) + b     Now solve for "b".

  70 = -20 + b

 +20 = +20      

   90 = b

F(x) =?. Vertex is (2,-4) the other given point is (1,-2)

Answers

Given the vertex, (2, -4) as the minimum point, and that it is an upward-facing parabola that passes point (1, -2):

We could substitute these values into the vertex form of the quadratic function,

f(x) = a(x - h)^2 + k

where:

(h,k) is the vertex

The axis of symmetry is the vertical line x = 2

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.


Now that we’ve established these definitions, we can substitute the given values into the vertex form:

f(x) = a(x - 2)^2 - 4

In order to determine the value of “a”, we must substitute the values of the other given point, (1, -2) into the equation:

f(x) = a(x - 2)^2 - 4

-2 = a(1 - 2)^2 - 4

-2 = a(-1)^2 - 4
-2 = a - 4

Add 4 to both sides to solve for “a”

-2 + 4 = a - 4 + 4
2 = a

Now that we have the value of a = 2, we can establish our quadratic function in vertex form:

f(x) = 2(x - 2)^2 - 4


I’m also including a screenshot of the graph of the function we came up with.


Please mark my answers as the Brainliest if you find my explanations helpful :)

On a field trip, the ration of students who brought a water bottle to those who didn’t was 7 to 4. If 60 students did not bring water bottle, determine the total number of students on the field trip.

Answers

Answer:

165 students

Step-by-step explanation:

7/4 = x/60

(60*7)/4 = 105

105 + 60 = 165

free brainly if you answer this right 2+2x3x4

Answers

48 or 26? Ima go with 26 since multiplication comes first.

Can Defects A company that makes soda pop cans finds that the

probability of producing a can without a puncture is 0.96, the probability that

a can does not have a smashed edge is 0.93, and the probability that a can

does not have a puncture and does not have a smashed edge is 0.893.

(a) Are the events "selecting a can without a puncture" and "selecting a can

without a smashed edge" mutually exclusive? Explain.

(b) If a quality inspector randomly selects a can, find the probability that the

can does not have a puncture or does not have a smashed edge

Answers

Using probability concepts, it is found that:

a) Since [tex]P(A)P(B) \neq 0[/tex], the events are not mutually exclusive.

b) 0.997 = 99.7% probability that the  can does not have a puncture or does not have a smashed edge.

Item a:

Two events, A and B, are mutually exclusive if:

[tex]P(A \cap B) = 0[/tex]

In this problem:

Event A: No puncture, thus, [tex]P(A) = 0.96[/tex].Event B: No smashed edges, thus [tex]P(B) = 0.93[/tex]

The problem also states that the probability of neither is [tex]P(A \cap B) = 0.893[/tex].

Since [tex]P(A)P(B) \neq 0[/tex], the events are not mutually exclusive.

Item b:

Using Venn probabilities, the "or" probability is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

With the given values:

[tex]P(A \cup B) = 0.96 + 0.93 - 0.893 = 0.997[/tex]

0.997 = 99.7% probability that the  can does not have a puncture or does not have a smashed edge.

A similar problem is given at https://brainly.com/question/23855473

help asap plsssssssssssssssssssssssssss. Find the missing parts of each number line. Assume that the lines have been split into equal parts.

Answers

Answer:

16 for the first one. each segment is 4

40 for the second. each segment is 8

Answer:

0, 4, 8, 12, 16

8, 16, 24, 32, 40, 48

Step-by-step explanation:

The first number line has 6 parts. 24÷6=4. Each vertical line will increase by 4.

So starting at 0, the parts of the number line are:

0, 4, 8, 12, 16, 20, 24

The specific part being asked for is 0, 4, 8, 12, 16

The second number line has 8 parts. 64÷8=8. Each vertical line will increase by 8.

Starting at 0, the parts of the number line are:

0, 8, 16, 24, 32, 40, 48, 56, 64

The specific part being asked for is 8, 16, 24, 32, 40, 48

the quadratic x2-4x-21 can be witten in the form (x+a)2 +b find the values of a and b

Answers

(x-2)^2-25

How?

[tex]\\ \sf\longmapsto (x-2)^2-25[/tex]

[tex]\\ \sf\longmapsto x^2-4x+4-25[/tex]

[tex]\\ \sf\longmapsto x^2-4x-21[/tex]

Answer:

a = - 2, b = -25

Step-by-step explanation:

Given quadratic expression:

x² - 4x - 21

Convert this into vertex form:

x² - 4x + 4 - 25 = (x - 2)² - 25

Compare this with the vertex form to determine the values of a and b:

a = - 2b = -25

9 is 50% of what number plz help​

Answers

Answer:

9 is 50% of number 18

'cuz u should do 18/2=9

Answer:  

9 / 50% = Y / 100%

Solve for Y  

50Y = 9 x 100

50Y = 900

Y = 900 /100 = 18

note: when i put / it means fraction

so the answer to your question is 18 :D

HELPPP PLZZ GIVING 40 BRAINLEIST AWAYYY

Answers

Answer:

Proportional relationship:

y = kx

Use a pair of points (0.14, 0.7) to find the value of k:

0.7 = 0.14kk = 0.7/0.14k = 5

The function is:

y = 5x

Fill in the table:

x = 3.1 ⇒ y = 5*3.1 = 15.5x = 2.5 ⇒ y = 5*2.5 = 12.5x = 1.2 ⇒ y = 5*1.2 = 6x = 0.9 ⇒ y = 5*0.9 = 4.5y = 0.3 ⇒ x = 0.3/5 = 0.06y = 0.1 ⇒ x = 0.1/5 = 0.02

PLS HELP!!! Which of the following function graphs have a range of (-∞, ∞)?

Answers

Answer:

b

Step-by-step explanation:

6t - 20 - 32u when t = 6 and u = 1/4

Answers

Answer: 8

Step-by-step explanation:

Substitute the variables for the number they represent

6(6) - 20 - 32(1/4)

Multiply

6*6 = 36

32 x .25 = 8

36-20-8

16-8

8

Answer:

here given equation is 6t - 20 - 32u

value of t=6

value of u=1/4

then...

putting the value in the given equation.. we get,

=6*6-20-32*(1/4)

=36-20-8

=8

The polygons
are similar. Find x.

i need #1 and 2 lol please

Answers

9514 1404 393

Answer:

x = 8x = 35

Step-by-step explanation:

Corresponding sides have the same ratio in similar figures.

1. x/20 = 6/15

  x = 20(6/15) = 8 . . . . multiply by 20

__

2. x/20 = 14/8

  x = 20(14/8) = 35 . . . . multiply by 20

The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60?
Enter your answer in the box.
y =

Answers

y=20 since it is 1/3 the value of x

Write the slope - intercept form of the equation of each line through thr points(2,5) and (3,4​

Answers

Answer:

y=-x +4

Step-by-step explanation:

y-2= -1(x-2)

y-2=-x +2

y= -x +4

Answer:

Slope: m=-1

y-intercept: (0,7)

slope intercept form: y=-x+7

need help due in 2 minutes!!!!

Answers

Step-by-step explanation:

r = 32/40 = 0.8

S10 = 40(1- (0.8)^10)/ (1- 0.8)

= 40(1 - 0.107) / 0.2

= 200(1.107)

= 221

You go to the deli counter at your grocery store and order 3/4 of a pound of sliced cheese that costs $7.99 per pound. The employee slices exactly 3/4 of a pound for you. What is the price of your cheese? _

Answers

5 bucks i think im not sure dough'

Answer:

1/2 = 0.5 and 3/4 = 0.75

Use a proportion: 0.5/2.60 = 0.75/x

Cross multiply: 0.5x = 0.75*2.60

So x = 0.75*2.60/0.5 = 3.90

Can you please help me with #4-#5?I don't know how to find the answer.​

Answers

Answer:

Step-by-step explanation:

4:C(X) = 17x - 10, the first question wants you to find how much 5 ticket costs, so replace x with 5 so c(x)= 17(5)-10 which equals 75$

4a: 4a wants you to find how many tickets you can buy for  130$. So first replace the y or c(x) with 130 x, which gives 130=17x-10. Now we find x, first add 10 to both sides to cancel the -10, 140=17x, then divide 17 from both sides which gives 8.235, so we can buy 8 tickets.

4b: It is discreet because it cannot be broken down into decimals or fractions, since you cannot have a halve of a ticket.

4c: c(0) means the y-intercept

4d: the range is  7 to positive infinite

5:

x    y

0   -10

1    7

2   24

3   41

4   58

5  75

Answer:

♡ The first answer is correct

♡ Please mark them BRAINIEST

♡ Hope this helps

♡ Have a beautiful day

Step-by-step explanation:

What is greater-3/5 or -0.35

Answers

Answer:

??????

Step-by-step explanation:

Answer: Neither.

Step-by-step explanation:

Both of these mean the same thing, -0.35

point Q is at (2,4) what happens after a 270 degree rotation about the origin

Answers

Answer:

(4, 2) the formula for 270 rotation counterclockwise is (y,-x)

Step-by-step explanation:

A rectangular piece of gift wrap

Answers

Answer:

Uh... this isnt a question

Step-by-step explanation:

yes, they are used to wrap gifts usually on christmas.

heyy what is 1756542230 divided by 5
first to answer gets braliest
no links please

Answers

Answer:

351308446................

Answer:

351308446

Step-by-step explanation:

Evaluate the expression when a = 2 and b = 5.
(4a−b)^2+3a
a.12
b.15
c.24
d.80

Answers

Answer:

this is b aka 15 and dont get mad at me for useing aka

Step-by-step explanation:

162:384 in simplest form ratio

Answers

Answer:

27:64

Step-by-step explanation:

162:384 = 81:192 = 27:64

Answer:

27:64 is the answer because it can't be broken down anymore

Step-by-step explanation:

27:64

72 tokens/12 games, tokens/10 games

Answers

72/12=T/10
12T=720
T=60
So ten games cost 60 tokens

5. Geometry A rectangular vegetable garden has a length of 8 ft and a width of 5 ft. The width is increased by 2 ft. By how many square feet does the area increase?​

Answers

A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?

Step 1. Area of a rectangle is given as A=length * width

Step 2. Then, A1=5*8=40 square feet of original area of rectangular garden.

Step 3. Then, A2=(5+2)*8=56 square feet since the length is increased by 2. feet.

Step 4. Difference = A2 - A1 = 56 - 40 = 16 square feet.

Step 5. ANSWER: The area increased by 16 square feet.

Help plssssss I love yall sooooo much just please help btw this is Math just try your best love yallllllll!!!!!!!!

Answers

I say the first and last one hope you get it right
Answer: Secone one, Euler path

Here is a better picture​

Answers

Answer:

Step-by-step explanation:

please help I don't understand ​

Answers

Answer:

5 five dollar and 7 one dollar

Step-by-step explanation:

let the number of one dollar be xthe number of five dollar be y

1x+5y=32

x+y=12

using elimination method

+x-x-y+5y-32+12=0

4y-20=0

4y=20

divide both side by 4

y=20/4 =5

so, if. y is 5 then x is

5y+x=32

5(5)+x=32

25+x=32

x=32-25

x=7

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