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Chapter 4: Q. 4.92 (page 505)

Graph the line of the equation 3x-2y=8using its slope and y-intercept.

Short Answer

Expert verified

The graph of the equation of the line3x-2y=8 is:

Step by step solution

01

Step 1. Given Information.

The equation:

3x-2y=8

02

Step 2. Write the equation in slope-intercept form.

The slope-intercept form of the equation is given by,

3x-2y=83x-8=2yy=32x-4

03

Step 3. Identify the slope and y-intercept.

From the above equation, the slope of the equation is:

m=32

y-intercept = (0, -4)

04

Step 4. Plot the y-intercept and slope of the line.

The y-intercept is (0, -4). The slope of the line is the ratio of rise to the run.

Plot these values in the graph and draw the line.

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