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Chapter 4: Q4C. (page 216)

Which of the following is an equation in slope-intercept form for the line shown?

Fy=14x鈭�1

Gy=14x+4

Hy=4x鈭�1

Jy=4x+4

Short Answer

Expert verified

Theoption (F) is correct. The equation of the straight line is y=x4鈭�1.

Step by step solution

01

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

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

02

Step 2. Write the equation in the intercept form. 

From the graph, the x-intercept is 4 while the y-intercept is -1.

Write the equation in the intercept form,

x4+y鈭�1=1

03

Step 3. Write the equation of a line in slope-intercept form.

Convert this equation in slope and intercept form by separating them yfrom the equation in the intercept form.

x4鈭�y=1y=x4鈭�1

Therefore, option (F) is correct. The equation of the straight line is y=x4鈭�1.

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Most popular questions from this chapter

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?

Graph each equation.

鈭�4x+y=2

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

鈭�2,鈭�1,m=鈭�3

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

Slope: 鈭�57, y-intercept: 鈭�23

Graph each equation.

y=13x鈭�2
See all solutions

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