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Chapter 1: Q. 110 (page 42)

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

Short Answer

Expert verified

The equation of line is:y=-12x-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: (-2,0)and(0,-1)

Slope of the line is given by,

m=y2-y1x2-x1⇒m=-1-00-(-2)⇒m=-12
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=-12x-1

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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

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

P1=(a,b);P2=(0,0)

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)-2x+3y=6(c)3x-4y=-12(d)x-y=1(e)x-y=-1(f)y=3x-5(g)y=2x+3(h)y=-3x+3

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

P1=(a,a);P2=(0,0)

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)2x-3y=6(c)3x+4y=12(d)x-y=1(e)x-y=-1(f)y=-2x-1(g)y=-12x+10(h)y=x+4
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