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Chapter 3: Q. 439 (page 356)

In the following exercises, graph the line of each equation using its slope and y-intercept.

y=-x-1

Short Answer

Expert verified

The graph of the line is

Step by step solution

01

Step 1. Given information

The equation of line

y=-x-1...................Equation (1)

02

Step 2. Identify the slope and y-intercept of the line

By comparing the given equation (1) with standard equation of line

y=mx+c

We get

m=-1c=-1

That means slope is -1 and y-intercept is (0,-1)

03

Step 3. Plot the y-intercept

Plot the point 0,-1in a rectangular coordinate system

04

Step 4. Identify the rise over the run

Slope of the line -1

m=-11

So rise is -1 and run is 1

05

Step 5. Count out the rise and run to mark the second point 

Rise is -1 and run is 1

So mark another point on the same graph at a distance of 1 unit in right direction along x-axis and 1 unit in downward direction along y-axis from first point

06

Step 6. Connect both points and extend the line.

The graph of the line is

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Most popular questions from this chapter

Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope鈥搃ntercept form.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

Graph each line with the given point and slope.

2,5;m=-13.

Use the slope formula to find the slope of the line between each pair of points.

-2,-1,6,5.

Graph the equationsx=3,y=1.
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