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Chapter 3: Q.459 (page 357)

In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form.

Short Answer

Expert verified

The slope-intercept form of the equation of the line in the shown graph isy=-3x+5.

Step by step solution

01

Step 1. Given information:

The provided graph of a line equation is:

02

Step 2. Evaluate/formulas 

From the graph, take two points that lie on the line are say 0,5,1,2.

The slope between two points x1,y1,x2,y2is m=y2-y1x2-x1.

The point-slope form of the line equation that passes through the point x1,y1with slope misy-y1=mx-x1.

03

Step 3. Find the equation of the line. 

Here, x1,y1=0,5,x2,y2=1,2.

Find the slope.

m=2-51-0m=-31m=-3

Substitute m=-3,x1=0,y1=5in y-y1=mx-x1.

y-5=-3x-0y-5=-3xy=-3x+5

The line equation isy=-3x+5.

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Most popular questions from this chapter

Graph the equation x+2y=4using the intercepts.

Find the intercept for the equationx-y=5.

Find the intercepts of the graph

.

Graph the equation by plotting points .

y=-2x+4

Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.

slope 15and y-intercept 0,-5.
See all solutions

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