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Chapter 3: Q. 116 (page 276)

Graph the line of equation 3x-4y=8using its slope and y-intercept.

Short Answer

Expert verified

The slope of equation is 34and the y-intercept is (0,-2).The graph is plotted below:

Step by step solution

01

Step 1. Given information

The equation of a line is given as 3x-4y=8.

02

Step 2. Identify the slope

The slope intercept form is as y=mx+bwhere mis the slope and (0,b)is the y-intercept.

The given equation is converted into slope intercept form as:

3x-4y=8-4y=-3x+8y=34x-2

Hence the slope is34.

03

Step 3. Identify the y-intercept

The y-intercept of equationy=34x-2is(0,-2).

04

Step 4. Graph the equation 3x-4y=8

The graph of equation 3x-4y=8with slope 34and y-intercept (0,-2)is plotted below:

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Most popular questions from this chapter

In the following exercise, determine the most convenient method to graph each line

3x-2y=-12

Find the intercepts of the equation5x-y=5.

Find the intercepts of the equation2x+5y=10.

Find the intercepts of the graph

.

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

-2,-1,6,5.
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