Slope-Intercept Form of a Line Answers

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5

What is the slope of the line represented by the equation y = x – 3?

Question illustration
A
–3
B
Negative StartFraction 4 Over 5 EndFraction.
Option B
C
StartFraction 4 Over 5 EndFraction.
Option C
D
3
6

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0).

Question illustration
A
slope: –2; y-intercept: 2
B
slope: ; y-intercept: 1
Option B
C
slope: ; y-intercept: 2
Option C
D
slope: 2; y-intercept: 1
7

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

A
The prepaid phone plan will have a steeper line and lower y-intercept.
B
The contracted phone plan will have the same steepness and a higher y-intercept.
C
The prepaid phone plan will have a less steep line and the same y-intercept.
D
The contracted phone plan will have a steeper line and same y-intercept.
8

What is the y-intercept of the function f(x) = –x + ?

Question illustration
A
–
Option A
B
–
Option B
C
StartFraction 1 Over 3 EndFraction.
Option C
D
StartFraction 2 Over 9 EndFraction.
Option D
10

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

Question illustration
A
y = 2 – 4x
B
y = 4 –
Option B
C
y = 6 –
Option C
D
y = 8 – 2x
11

What is the slope of the line represented by the equation y = –x + ?

Question illustration
A
–
Option A
B
–
Option B
C
StartFraction one-fourth EndFraction.
Option C
D
StartFraction one-half EndFraction.
Option D
12

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

Question illustration
A
Option
B
Option
C
Option
D
Option
13

A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?

A
Option
B
Option
C
Option
D
Option
15

Which statements are true about the lines? Select three options.

A
Line WZ has the same slope as line XY.
B
Line YX has a greater slope than line ZY.
C
Line XW has a lesser slope than line YZ.
D
Line ZW has the same y-intercept as line YZ.
E
Line XY has a lesser y-intercept than line XW.
18

A coordinate plane with a line drawn passing through the points (0, 3) and (1,1).

Question illustration
A
y = –2x + 3
B
y = 2x + 3
C
y = x + 3
Option C
D
y = –x + 3
Option D

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