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Chapter 4: Q2A. CYP (page 215)

Graph each equation.

3x−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 m is the slope and b is the y-intercept.

02

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

Rewrite the equation3x−4y=12in slope-intercept form.

The equation of the straight line is:

3x−4y=123x−4y−3x=12−3xSubtract3xfrombothsides−4y−4=12−3x−4Dividebothsidesby−4y=34x−3

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

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept 0,−3. The slope is riserun=34. From 0,−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

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

A graph in which two sets of data are plotted as ordered pairs in a coordinate plane is called a step function.

Write the given equation in standard form.

y−3=5(x−2)

Write an equation of the line with the given conditions.

−1,6,2,4.

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

−4,2, slope 0

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

6,3, slope 5
See all solutions

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