AnswersJHHS LA-Algebra ISlope of a Line

Slope-Intercept Form of a Line Answers

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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
2
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Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

A
y = 2x + 1
B
y = 2x + 3
C
y = 3x + 2
D
y = 3x + 5
3

The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?

A
y=48x−2
B
y=48x+2
C
y=2x−48
D
y=2x+48
4

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
5

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?

A
m = 72 – 15d
B
m = 90 – 6d
C
m = 101 – 21d
D
m = 108 – 3d
6

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
7

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
8

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.
9

What is the slope of the line represented by the equation y = – – 5x?

Question illustration
A
–5
B
–
Option B
C
StartFraction 2 Over 3 EndFraction.
Option C
D
5
10

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
11

The graph represents revenue in dollars as a function of greeting cards sold.

Question illustration
A
y = x
Option A
B
y = x
Option B
C
y = 2x
D
y = 4x
12

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
13

A coordinate plane with a line drawn passing through the points (0, 3) and (3, 2).

Question illustration
A
y = –3x + 3
B
y = 3x – 3
C
y = 3x –
Option C
D
y = –x + 3
Option D
14

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

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