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Chapter 1: Q. 107 (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+2.

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: (-2,0)and(0,2)

Slope of the line is given by,

m=y2-y1x2-x1鈬�m=2-00-(-2)鈬�m=22鈬�m=1

03

Step 3. Finding y-intercept of the line. 

From the graph, y-intercept,b=2

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+2

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x+1=4

Show that the line containing the points (a, b) and (b, a), a b, is perpendicular to the line y = x. Also show that the midpoint of (a, b) and (b, a) lies on the line y = x.

What can you say about two lines that have equal slopes and equal y-intercepts?

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(3,-4);P2=(5,4)

Solve the equation 2x+3=4(x-1)+1
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