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Chapter 4: Q2A. CYP (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 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鈭�4y=12in slope-intercept form.

The equation of the straight line is:

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=34 and 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

Writey+4=鈭�7x鈭�3in slope-intercept form.

An electrician charges a \(25 consultation fee plus \)35 per hour for labour.

a. Copy and complete the following table showing the charges for jobs that take 1, 2, 3, 4, or 5 hours.

Hours,h
Total cost,C
1
2
3
4
5

b. Write an equation in slope-intercept form for the total cost of a job that takeshhours.

c. If the electrician bills in quarter hours, how much would it cost for a job that takes 3 hours 15 minutes to complete?

Write each equation in standard form.

y+4=23x鈭�3

Determine the domain and range of the function graphed below.

Write the given equation in standard form.

y鈭�9=鈭�45(x+2)
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