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Chapter 3: Q 165. (page 291)

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Short Answer

Expert verified

Slope-intercept of the line in the graph isy=12x-3.

Step by step solution

01

Step 1. Given information.

The graph as shown below is given.

02

Step 2. Find the slope and y-intercept of the graph.

It can be seen that y-intercept is 0,-3and it passes through 6,0.

Find slope as follows.

m=riserunm=0+36-0m=36m=12

03

Step 3. Substitute the values in slope-intercept form.

Slope intercept form is y=mx+b.

Substitute the values as follows.

y=mx+by=12x-3

Therefore, slope intercept form of the graph isy=12x-3.

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Most popular questions from this chapter

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=-1 andy=2

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(3,-1)B(-1,-4)a solution to the equation.

(b) Is the point A(3,-1)B(-1,-4)on the line?

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=x2+2

Graph:f(x)=x2

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=23x-2.
See all solutions

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