2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:

Answers

Answer 1

Answer:

The answer to your question is:

Step-by-step explanation:

Data

A (8, 9)

B (-2, 4)

1. What is the slope of the line? Show your work

m = (y2 - y1) / (x2 - x1)

m = (4 - 9) / (-2 - 8)

m = -5 / - 10

m = 1/2

2. Write the equation of the line in point-slope form. Show your work

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

(y - 9) = 1/2(x - 8)

3. Write the equation of the line in slope-intercept form.

(y - 9) = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x - 4 + 9

y = 1/2x + 5

This work was done by joseaaronlara


Related Questions

-18 - 6n= 6 (1 + 3n)

Answers

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

Martha drove 281.4 miles in 4.2 hours. How fast was she driving?

Answers

Answer:

I think your answer would be 67 mph

Step-by-step explanation:

281.4 / 4.2 = 67

Formula for speed:

d / t = s

Evaluate 2x+6y when x= -4/5 and y= 1/3 Write your answer as a fraction or mixed number in simplest form.

Answers

2/5 is a answer

in this we can se the answer is 2/5

help with question 8 please

Answers

Answer:

the answer is G I believe

I think also the answer is G.

The lengths of a side of a triangle are 12.1 inches, 11.28 inches, and 5.4 inches. What is
the perimeter of the triangle?

Answers

Answer:

28.78

Step-by-step explanation:

12.1+11.28+5.4=28.78

To find a perimeter, you would add up all of the sides. There are 3 sides so you would add them all up to get 28.78

The temperature went from -6°F to -11°F. What was the change in temperature?
-5 F
5F
-17°F
17 F

Answers

I think that is -17 hope that helps

Answer:-5 F

Step-by-step explanation -6 + -5 = -11

The point C is 3/4 of the way from point A (-4,1) to point B (6,5). What are the coordinates of point C?

Answers

Answer:

(-1,5)

Step-by-step explanation:

The coordinates of point C are (7/2, 4).

What is midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

C is a point between AB.

Point C is 3/4 of the way from point A (-4,1) to point B (6,5).

This means,

AC : CB = 3 : 1 = m : n

Now,

m = 3

n = 1

(-4, 1) = (a, b)

(6, 5) = (c, d)

C = (x, y)

x = (mc + na)/(m + n)

x = (3 x 6 - 4)/4

x = (18 - 4)/4 = 14/4 = 7/2

y = (md + nb)/(m + n)

y = (15 + 1)/4 = 16/4 = 4

Now,

The coordinates of C is (7/2, 4).

Thus,

C is at the point (7/2, 4).

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In your own words explain to someone how to find the intersection of two sets.

Answers

Answer:

in simple terms find the common elements present in both sets

eg sets

A=[1,2,3,4,5]

B=[4,5,7]

AnB=[4,5]

What is the radius of a circular swimming pool with a diameter of 2 feet?

Answers

Answer:

1 foot

Step-by-step explanation:

Answer:

it is 1 foot can i have brainly lol

Step-by-step explanation:

8,943
=
X 1000 +
x 100 +
x 10 +
x 1
x 103 +
x 10? +
x 10 +
II
X 1

Answers

Answer:

I think that's wrong

Step-by-step explanation:

1000+1000+1000+1000+1000+1000+1000+1000+1000+ 900+40+3 ?????? not sure but it welcome

What are the opposites of 7, −4.5, 3.35, and 7 1 2

Answers

Answer:

The opposites of these numbers are -7, 4.5, -3.35, and -712

Step-by-step explanation:

Tasha started her homework at 3:45 pm she spent an hour and 20 minutes completing her homework. What time did she finish her homework

Answers

Tasha finishes at 5:05
She would finish at 5:05

Dave has 500 baseball cards, which is as many cards as Eric and Travis have combined. Eric has three times as many cards as Travis. If Travis is donated x cards, Eric 3x cards, and Dave 500 cards. What is the total number of calls that all of them have? Also, explain how we figure out the amount of cards Travis has and the amount Eric has

Answers

Answer:

regtrgerf

m klbhjkb.Step-by-step explanation:

Which pair of lines are perpendicular?

A y=-8 and y = 2
B y= -4x + 1 and 8X+2Y=-10
C x=4 and y= -1
D x-y=7 and y=x+3

Answers

9514 1404 393

Answer:

  C.  x=4 and y= -1

Step-by-step explanation:

A: lines are parallel (both are horizontal)

B. lines are parallel (both have slope -4)

C. lines are perpendicular (one is vertical, one is horizontal)

D. lines are parallel (both have slope 1)

One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice? ​

Answers

Answer:

43.2 oz

Step-by-step explanation:

4.8/x=10/100

simplify:

4.8/x=1/10

cross multiply:

x=48

there is 48 oz juice in total

to find the rest:

48-4.8=43.2

43.2 oz is something other than fruit juice.

what is the slope of the line

Answers

Answer:

Rise/Run = up 3 over 1 = 3/1 (m = 3)

Step-by-step explanation:

Learn this stuff it is very important for future math

A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.​

Answers

9514 1404 393

Answer:

  sec(A) = -(1/5)√74

Step-by-step explanation:

Solving the equation for y, we have ...

  -7x = 5y

  -7/5x = y

The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...

  sec(A)^2 = 1 + tan(A)^2

  sec(A) = √(1 +tan(A)^2)

  sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant

  sec(A) = -(1/5)√74

What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
0-
Prism vs. Pyramid
3
10
9
B
8
03
02
Prism Volume (cubic units)
2
1
23
5
6 7
8
9 10

Answers

Answer:

The slope of the line is 3.

Step-by-step explanation:

The slope of the line between the volume of a rectangular prism and the volume of a square pyramid is given by m = 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 2 , 6 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 6 - 3 ) / ( 2 - 1 )

Slope m = 3 / 1

m = 3

Therefore , the value of m = 3

Hence , the slope of the line is m = 3

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Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if the map scale is 1 in.=50ml

Answers

Answer:

3.5 * 50 =175 mi :)

Step-by-step explanation:

Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.

Answers

Answer:

  y = -1/3x + 13/3

Step-by-step explanation:

-3x + y=-5

y = 3x -5

Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.

y-intercept going through point (1, 4):

y = mx + b

4 = -1/3(1) + b

4 = -1/3 + b

b = 13/3

Perpendicular equation of a line:

y = mx + b

y = -1/3x + 13/3

Find the distance and midpoint for the points (4, 8) and (19, 16). The distance is ___. The midpoint is ( _ , _ ).

I'd like a step by step please.

Answers

Answer:

[tex]Distance = 17 \\Midpoint = (11.5 , 12)[/tex]

Step-by-step explanation:

[tex]\sqrt{(16-8) }^{2} -{ (19 - 4)^{2}[/tex]

[tex]8 ^{2} + 15^{2}[/tex]

[tex]64 + 225[/tex]

[tex]\sqrt{289}[/tex]

[tex]distance = 17[/tex]

[tex]\frac{4 + 19}{2} , \frac{8+ 16}{2}[/tex]

[tex]\frac{23}{2} , \frac{24}{2}[/tex]

[tex]Midpoint = 11.5 , 12[/tex]

Hope this helps

plz mark brainliest

Can someone please help

Answers

Answer:

What is your question?

Step-by-step explanation:

18 ft = 6 yd
O True
O False
Help

Answers

Step-by-step explanation:

there is 3 feet in a yard

divide by 3

18 ÷ 3 = 6

true

it is true. because 18 ft equals 6 yards. hahaha ima just type because it needs to be 20 characters but yeah.

Jane Little rents a car for $39.00 a week. She pays $15.00 per week for the insurance, and spends $17.50 weekly on gas. What will her cost be per month (four weeks)?

Answers

Answer: Her cost will be $286 per month.

Step-by-step explanation: $39.00 times 4 is $156. $15.00 times 4 is $60. And $17.50 times 4 is $70. Adding all that together is $286

Answer:

$286.00

Step-by-step explanation:

First, you add 39.00 + 15.00 + 17.00 because that is for one week and you get $71.50 Then, you multiply 71.50 x 4 because there are 4 weeks in a month    and you get $286.00      Hope This Helps :)

Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?

Answers

Answer the answer to your question is $7.50

f(x)=-3x^2-6x

Find f(−9)

Answers

Answer:

f(-9)= -189

Step-by-step explanation:

f(-9)= -3(-9)^2-6(-9)

f(-9)= -3(-9)^2 +54

f(-9)= -3(81) +54

f(-9)= -243 + 54

f(-9)= -189

[tex]f(-9)[/tex]  is [tex]-189[/tex]

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]

We have to find [tex]f(-9)[/tex]

So,  [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]

                [tex]=-243+54[/tex]

                [tex]=-189[/tex]

Hence, we can conclude that   [tex]f(-9)[/tex] is [tex]-189[/tex]

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If n is divisible by 2, 5 and 14, which of the following is also divisible by these numbers?

Answers

Answer:

The number 70 is divisible by 2,5 and 14.

Explanation:

Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.

140 is divisible by 2, 5 and 14.

SO the answer is option e: n+70

       

A lab technician must screen 175 slides under the microscope each week. If she works 7 hours a day, 5 days a week, how many slides,on average, must she screen in one hour

Answers

Answer:

The lab technician must screen 5 slides per hour

Step-by-step explanation:

If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.

Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.

The average is calculated as:

[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]

[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]

The lab technician must screen 5 slides per hour

What is the value of x in the equation 1.5(x +4)-3 = 4.5(x -2)?
3
4
5
9​

Answers

Answer:

Step-by-step explanation:

1.5x + 6 - 3= 4.5x - 9

1.5x + 3 = 4.5x - 9

Bringing like terms on one side

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x

Option B is the correct answer

I need help with this math problem

Answers

Answers:

4) 1:1.5

5) 1.5:7

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