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Chapter 1: Q22. (page 51)

Find an equation of the line having the given characteristics. Express your answer using either the general form or the

slope鈥搃ntercept form of the equation of a line, whichever you prefer. Graph the line.

y intercept is -2 containing the point5,-3.

Short Answer

Expert verified

The equation of line is x+5y=10and graph for the line as shown below.

Step by step solution

01

Step 1. Given information.

Consider the givenyintercept and point5,-3.

02

Step 2. Formula used .

The line slope intercept form y=mx+bis used to find equation.

Substitute the values of x,yand b.

y=mx+b-3=5m-2m=-15

Further simplify to find the equation using line intercept formy-y1=mx-x1

y+3=-15x-5x+5y=10

03

Step 3. Plot the graph 

The graph for the given equation as shown below.

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