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Chapter 1: Q. 108 (page 42)

Write an equation of each line. Express your answer using either the general form or the slope鈥搃ntercept form of the equation of a line, whichever you prefer.

Short Answer

Expert verified

The equation of line is:y=-x+1.

Step by step solution

01

Step 1. Given information 

Graph of line is:

02

Step 2. Finding slope of the line. 

The two points on the line are: (0,1)and(1,0)

Slope of the line is given by,

m=y2-y1x2-x1鈬�m=0-11-0鈬�m=-1

03

Step 3. Finding y-intercept of the line. 

From the graph, y-intercept,b=1

04

Step 4. Finding equation of the line

Slope-intercept form of the line is: y=mx+b

Substituting slope and y-intercept in the equation above, we get,y=-x+1

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