Use the point and the slope to graph each line. Write the equation of the line.
The line passes through point (4,0) and has slope 0.5.

Answers

Answer 1

Answer:

y=0.5x-4.5

Step-by-step explanation:

y=mx+b

Use the information provided to find b

0=0.5(4)+b

-2=b

Therefore, the equation goes down to...

y= 0.5x-2

Answer 2

Step-by-step explanation:

using the formula

m = y -y1/ x - x1

0.5 = y -0/x-4 (0.5 = 1/2)

1/2 = y/x -4

2y = x -4

divide both sides by 2

y = 1/2 ( x -4)

y = 1/2x - 2

y -1/2x = -2


Related Questions

A businessman bought 130 bundle of dalo for $1040.00 he made a profit of $2.00 for each bundle that he sold .How much would be the cost of each bundle bought by the businessman??​

Answers

Answer: $10 each

Step-by-step explanation:

130*2

260+1040

=1300

1300/130

=10

30 inches to 1 feet simplify

Answers

Answer:

30 inches into feet

12 inches = 1 feet

12in = 1ft

24in = 2ft

30 - 24 = 6

The answer is 2 ft and 1/2

or 2 ft and 6 inches

***hope this helps

Step-by-step explanation:

Find the slope intercept form of an equation of the line perpendicular to the graph y = 2/3x - 5/3 and passing through the point (0, 6).

The perpendicular slope is:
State the y value of the y-intercept of the perpendicular line:
The equation of the perpendicular line is:

Answers

Answer:

Perpendicular slope: -3/2

Y-value of the y-intercept:  6

Linear equation of the perpendicular line: y = -3/2x + 6

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, which means that multiplying the slopes of both lines will result in -1.

Given the linear equation, y = 2/3x - 5/3, and the point, (0, 6):

Let m1 = slope of line 1

     m2 = slope of the other line

Since the slope of y = 2/3x - 5/3 is 2/3, then the other line must have a slope of -3/2 because:

m1 × m2 = -1

[tex](\frac{2}{3}) (-\frac{3}{2}) = -1[/tex]

Therefore, the slope of the other line (m2) = -3/2.

The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The given point has coordinates (0, 6), which means that it is the y-intercept.  Its y-coordinate, (b) = 6.

Therefore, given the slope m = -3/2, and the y-value of the y-intercept, b = 6, then the equation of the perpendicular line is: y = -3/2x + 6.

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the area of square is 350 CM square find the length of diagonal

Answers

d = a√2

Step-by-step explanation:

350 √350 2

=350x1.42= 497

I really love to help. I am sure that this will help you em' out.

plz help quick!!!!
graph the line with slope 2/3 and y-intercept-6

Answers

Start at the point (0,-6) then use the slope to create two new points, (2,-3), (4,0) then draw a line using a straightedge passing through the points I just listed

Find the ordered pair (x,y) that satisfies the system of equations
x + y = 15
x - y = 3.

Answers

Answer:

(9, 6)

Step-by-step explanation:

add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18

isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9

substitute 9 in x's place in one of the equations: 9 + y = 15

solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6

combine x and y coordinates together: (9, 6)

5x-2 = -2+5x. a) infinite solution b) no solution c) 1 solution

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given equation is :

[tex]5x - 2 = - 2 + 5x[/tex]

here, 5x is on both sides, so they cancel out. hence value of x can't be determined.

so, the equation have no solution.

correct choice is B.) no solution

5x -2 = -2 + 5x

Add 2 to both sides to get 5x = 5x

Because this is true then any value of x will still make the equation true.

This means there are infinite solutions.

Answer: a) infinite solution

20 out of 22 students passed the quiz. What percentage of students passed the quiz?

Answers

Answer:

A.T.Q

Let x number of passed students

x% of 22 = 20

x/100 × 22 = 20

x/100 = 20/22

x = 20/22 × 100

x = 90.91

Step-by-step explanation:

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make up two word problems on any multiplicatiob table of your choice. remember to give your answer in a sentence​

Answers

1. In order to buy their father's gift, John has put in $10 and Patricia has put in 3 times as much money as John. How much money has Patricia put in? (Answer: $30)

2. At the shop, pencils are $2 each. Chloe wants to buy 12 pencils. How much does it cost altogether?
(Answer: $24)

find the mean of, -21,-24,-37,-52,-56

Answers

Answer:

-38

Step-by-step explanation:

(-21 + -24 + -37 + -52 + - 56)/5 = -38

plz help me in this question

Answers

Step-by-step explanation:

option A is correct

as, point S lies on = -7, 4

and point T lies on = 5, 4

so, diameter is 12 so radius = diameter/2 = 12/2 = 6

and center is - 1 , 4 as the diameter lies on 4 in y axis

hope this answer helps you dear...take care and may u have a great day ahead...also may ur exam/test/assignment goes well!.

Determine what principal amount Aunt Mildred should have invested so that only your tuition for all four (or two) years would be covered for your top choice school.

Answers

Answer:

Determine what principal amount Aunt Mildred should have invested so that only your tuition for all four or two years would be covered for your top choice school

9y''-12y'+4y=0 y1=e^2x/3 by Reduction Order

Answers

Answer:

[tex]9 \frac{ {d}^{2}y }{ {dx}^{2} } - 12 \frac{dy}{dx} + 4y = 0) \div 9 \\ \frac{ {d}^{2}y }{ {dx}^{2} } - \frac{4}{3} \frac{dy}{dx} + \frac{4}{9} y = 0 \\ y_{1}(x) = {e}^{ \frac{2}{3} x} \\ p(x) = - \frac{4}{3} \\ y_{2}(x) = y_{1}(x) \int \frac{ {e}^{ - \int \: p(x)dx} }{ {(y_{1}(x))}^{2} } dx \\ = {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \int \: \frac{4}{3} dx} }{ { ({e}^{ \frac{2}{3} x})}^{2} } dx \\= {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \frac{4}{3} x} }{ { {e}^{ \frac{4}{3} x}}} dx \\ = {e}^{ \frac{2}{3} x} \int dx \\ \boxed{y_{2}(x) =x{e}^{ \frac{2}{3} x}}[/tex]

here are three different recipes for orangey- pineapple juice. Two of these mixtures taste the same and one tastes different.
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice
Recipe 2: Mix 6 cups of orange with 9 cups of pineapple juice
Recipe 3: Mix 9 cups of orange with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning

Answers

Answer:

recipe 1 and recipe 2 will taste the same while recipe 3 will taste different

Step-by-step explanation:

Let's look at the Mix ratio

for recipe 1 the mix ratio is 2:3

recipe 2 ratio is 2:3

and recipe 3 ratio is 3:4

If all the rain is collected from the roof, how many potential litres can they collect in one year? If a large storage tank holds 5000 litres, how many storage containers would they need? Is this reasonable?​

Answers

Answer:i don't know

Step-by-step explanation:

______ is 1 less than 168​

Answers

167 is 1 less than 168

1 less = -1 of the given number

Write an equation in slope intercept form for the line that goes through the points (-7, -2) and (-7, 8)

Answers

The equation of the line is x = -7

How to determine the line equation?

The points are given as

(-7, -2) and (-7, 8)

See that the x coordinate of both points are the same.

This means that the line equation is a vertical line that passes through x = -7

Hence, the equation of the line is x = -7

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absolute value of 3(x-2)=12

Answers

-3 or=3 that is the Answer I hope you like it

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
12y - 4x = 12

Answers

Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:

[tex]12y - 4x = 12) \div 12 \\ y - \frac{1}{3}x = 1 \\ y = \frac{1}{3}x + 1[/tex]

convert the angle 0= 9pi/5 radians to degrees. express your answer exactly.

Answers

Answer: 324

To convert radians into degrees you multiply by 180/pi.

9pi/5*180/pi
The pis will cancel out and you are left with:
9(180)/5=1620/5=324
Your answer is 4.75 degrees

Write the equation of the line passing through the points (15,4) and (-3,-3) please helppp 10 points pleaseeeeeeeeeee

Answers

Answer: [tex]y = \frac{1}{3}x-2[/tex]

This is the same as writing y = (1/3)x - 2

Slope = 1/3

y intercept = -2

======================================================

Explanation:

We first need to determine the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-3-3}{-3-15}\\\\m = \frac{-6}{-18}\\\\m = \frac{1}{3}\\\\[/tex]

Then we'll use this value of m, along with (x,y) = (15,3), to determine the y intercept b value.

[tex]y = mx+b\\\\3 = (1/3)(15)+b\\\\3 = 5+b\\\\3 - 5 = b\\\\-2 = b\\\\b = -2[/tex]

You could use the other point (-3,-3) as well

[tex]y = mx+b\\\\-3 = (1/3)(-3)+b\\\\-3 = -1+b\\\\-3 +1 = b\\\\-2 = b\\\\b = -2[/tex]

Either way, we end up with the same y intercept. You don't need to show both sets of steps when computing b. You only need to pick one set  of steps.

Since m = 1/3 and b = -2, we go from y = mx+b to y = (1/3)x - 2 which is the same as writing [tex]y = \frac{1}{3}x-2[/tex]

Answer:

y = 7/18 - 11/6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 4 / -3 - 15

-7/-18

= 7/18

y = 7/18x + b

4 = 7/18(15) + b

4 = 35/6 + b

-11/6 = b

In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from the lot, the probability that the selected car would be a green car is one sixth and the probability that it would be a red car is one eighth. What is the probability that it would be a white car?

Answers

Answer:

17/24

Step-by-step explanation:

With the understanding that the three given cars form three mutually exhaustive and disjoint sets i.e., they form the partition of sample space, the probability that the selected car would be white is [tex]\frac{17}{24}[/tex].

What is partition of a sample space?

A collection of sets B1, B2, . . . , Bn is said to partition the sample space if the sets (i) are mutually disjoint and (ii) have as union the entire sample space.

In this question, we take three sets - set of all red cars, white cars and green cars.

A car can be either red, white or green. Thus they are mutually exclusive.

Also, let the cars in parking lot be the sample space. Every car we pick has to be of one of the three colors. This imply that the three sets of the three cars are mutually exhaustive.

P(selecting a red car) + P (selecting a green car) + P(selecting a white car) = 1

[tex]\frac{1}{8} + \frac{1}{6} + P(selecting\ a\ white\ car) = 1\\\\ P(selecting\ a\ white\ car) = \frac{17}{24}[/tex]

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the length of 6 identical iron rods is 48 unit what will be the total length of 9 such rods ​

Answers

72 units is the answer

The total length of 9 rods will be 72 units.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The length of 6 identical iron rods is 48 unit.

Now,

Since, the length of 6 identical iron rods is 48 unit.

Hence, the length of 9 identical iron rods = 9 × 48 / 6

                                                                = 9 × 8

                                                                = 72 units

Thus, The total length of 9 rods will be 72 units.

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please help due tomorrow

Answers

Answer:

1) v= -3, -5

2) n= 3, -1

3) i don't see a solution so- no solution

4) m= -11/5, 5 or -2 1/2, 5

5) k= 13, 8

6) b= 3.53867

7) ????

8) ????

9) n= -4, -6

10) m= 1.78233

11) x= 2/3, -1

12) x= 1, 0.2(1/5)

13) a= -1/3, 4/3

14) b= -3/7, -8

15) b= 2, -3

16) x= 4, -2

im way too lazy to put in my work. sorry.

60,000 is 1/10 of ______.

Answers

Answer:

600,000

Step-by-step explanation:

60,000 x 10

Answer:

hello

Step-by-step explanation:

have a great day...

The nth term of a sequence is 7- 5n. What is the 90th term?

Answers

Answer:

-443 is the 90th term

Step-by-step explanation:

n=90th

Given: 7-5n

> 7-5(90)

> 7-450

> -443

Johnny paid $42 for 12 cartons of orange juice. What is the unit rate, in dollars per carton, of orange juice that Johnny paid?
$3.50 per carton
$3.00 per carton
$4.00 per carton
$4.50 per carton

Answers

First, you do

42 divided by 12

42/12

That will equal = 3.5

So the correct answer is the first one

$3.50 per carton

Heidi drove to visit her friend one summer. The miles she traveled are shown on the graph below.

What is the unit rate of miles driven per hour?
A.
50 miles per hour
B.
25 miles per hour
C.
75 miles per hour
D.
100 miles per hour

Answers

Answer:

A

Step-by-step explanation:

Look at the line and wherever the line meets with the miles then find the miles and that's your answer.

If you want to make sure, do "50(mph) * 2(hours)" and it should land on "100"

Simplify by distributing And/Or Combining Like Terms -3-5x-5y+8x+7y+8

Answers

Answer:

3x+5+2y

Step-by-step explanation:

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Answer:

[tex] = > 5 + 3x + 2y[/tex]

3. Let : (0,1] → R be defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with S(f,P) -s(f,p)<€​

Answers

Step-by-step explanation:

defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with ... - did not match any documents.

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