Point-Slope Form of a Line Answers

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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?

m = 72 – 15d

m = 90 – 6d

m = 101 – 21d

m = 108 – 3d

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

–3

Negative StartFraction 4 Over 5 EndFraction.

StartFraction 4 Over 5 EndFraction.

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

–5

–

StartFraction 2 Over 3 EndFraction.

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?

y = 2x + 1

y = 2x + 3

y = 3x + 2

y = 3x + 5

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?

The prepaid phone plan will have a steeper line and lower y-intercept.

The contracted phone plan will have the same steepness and a higher y-intercept.

The prepaid phone plan will have a less steep line and the same y-intercept.

The contracted phone plan will have a steeper line and same y-intercept.

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?

y=48x−2

y=48x+2

y=2x−48

y=2x+48

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

y = –2x + 3

y = 2x + 3

y = x + 3

y = –x + 3

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

–

–

StartFraction 1 Over 3 EndFraction.

StartFraction 2 Over 9 EndFraction.

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?

Option

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.