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Chapter 5: Q. 3 STP (page 325)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Which equation has a slope of 鈭�23and a y-intercept of 6?

Ay=6x+23

By=鈭�23x鈭�6

Cy=鈭�23x+6

Dy=6x鈭�23

Short Answer

Expert verified

The equation of the line having slope of 鈭�23and a y-intercept of 6 is y=鈭�23x+6.

Therefore, the option Cis correct.

Step by step solution

01

Step 1. Write the form of equation of the line in slope-intercept form.

The equation of the line in slope-intercept form is y=mx+c, wherem is the slope of the line andc is the y-intercept of the line.

02

Step 2. Determine which equation has a slope of −23 and a y-intercept of 6.

It is given that the slope of the line is 鈭�23. Therefore, the value of mis 鈭�23.

It is given that the y-intercept of the line is 6. Therefore, the value of cis 6.

Substitute 鈭�23and 6 for mand crespectively in the equation y=mx+c.

y=mx+cy=鈭�23x+6

Therefore, the equation of the line having slope of 鈭�23and a y-intercept of 6 is y=鈭�23x+6.

Therefore, the option C is correct.

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Most popular questions from this chapter

Solve each inequality. Check your solution.

22>m鈭�8

Jane is saving money to buy a new cell phone that costs no more than \(90. So far, she has saved \)52. How much more money does Jane need to save?

  1. \(38
  2. More than \)38
  3. No more than \(38
  4. At least \)38

Graph each inequality.

y>x鈭�3

Solve each inequality. Then graph it on a number line.

y+1鈮�8

Solve each inequality. Check your solution.

2m鈮�鈭�10
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