Point-Slope Form of a Line Answers

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?

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

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

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?

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

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 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.

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

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

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?

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

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

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

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

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