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Chapter 3: Q11. (page 202)

Find the x-intercept and y-intercept of the graph of each linear function.

Short Answer

Expert verified

The x-intercept isx=−8 and the y-intercept is y=6.

Step by step solution

01

Step 1. Find the slope of the line.

Find the equation of the line using any two points. Use the formula to find slope of the line:

m=y2−y1x2−x1m=3−0−4−−8m=3−4+8m=34

02

Step 2. Find the equation of the line.

The equation of a line is given by,

y−y1=mx−x1y−0=34x−−84y=3x+84y=3x+24

03

Step 3. Find the x and y intercepts.

Find the x-intercept, plug in y=0in the equation.

4y=3x+2440=3x+24[Pluginy=0]0=3x+243x=−24x=−8

x-Intercept: x=−8.

Find the y-intercept, plug in x=0in the equation.

4y=3x+244y=30+24[Pluginx=0]4y=0+244y=24y=6

y-Intercept: y=6.

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