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Chapter 2: Q9. (page 66)

Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.

y=-3x-5

Short Answer

Expert verified

The x-intercept is-53 and y-intercept is -5. The graph of the equation is:

Step by step solution

01

– Definition of intercepts.

The x-intercept is the point where the graph intersect the x-axis. It is the value of x when y=0.

The y-intercept is the point where the graph intersect the y-axis. It is the value of y when x=0.

02

– Find the x-intercept.

The given equation is:

y=-3x-5

Substitute y=0 in the given equation.

0=鈭�3x鈭�53x=鈭�53x3=鈭�53x=鈭�53

The x-intercept is -53. The graph crosses the x-axis at -53,0.

03

– Find the y-intercept.

Substitute x=0 in the given equation.

y=鈭�3(0)鈭�5y=0鈭�5y=鈭�5

The y-intercept is -5. The graph crosses the y-axis at 0,-5.

04

– Draw the graph.

Plot the points -53,0and 0,-5on a coordinate plane and connect them by a straight line as shown below:

Thus, the x-intercept is -53 and y-intercept is -5.

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