AnswersEDG Algebra 1ASlope-Intercept Form of a Line

Slope-Intercept Form of a Line Answers

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1
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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
2
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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.
3

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
4

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
5

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
6

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
7

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
8

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
9

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
10

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.

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