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Chapter 4: Q2A. (page 215)

Graph each equation.

3x鈭�4y=12

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is y=mx+b, where mis the slope and bis the y-intercept.

02

Step 2. Write the equation of a line in slope-intercept form. 

Rewrite the equation 3x鈭�4y=12in slope-intercept form.

The equation of the straight line is:

role="math" localid="1647507512815" 3x鈭�4y=123x鈭�4y鈭�3x=12鈭�3xSubtract3xfrombothsides鈭�4y鈭�4=12鈭�3x鈭�4Dividebothsidesby鈭�4y=34x鈭�3

The slope ism=34and the y-intercept is 0,鈭�3.

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept 0,鈭�3. The slope is riserun=34. From 0,鈭�3, move up 3 unit and right 4 unit. Plot the point. Draw the line through the two points.

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Most popular questions from this chapter

Write an equation of a line in slope-intercept form with the given slope andy-intercept. Then graph the equation.

Slope:鈭�2, y-intercept:-9

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope: -5, y-intercept: 3

Write an equation of the line with the given conditions.

鈭�1,6,2,4.

Write an equation of a line in slope-intercept form with the given slope andy-intercept. Then graph the equation.

Slope: 鈭�58, y-intercept:鈭�2

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope: 2, y-intercept: 4
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