Unit Two Slope Review

Ramsey and Patrick are standing at positions (2, 4) and (6, 10) in the park, respectively. When a path is plotted from Ramsey to Patrick, what is the slope of that path?

• 5/4

• 3/2

• 2/3

• 1/2

Neveah, Trinity and Tanner are designing a roller coaster for a school project. They came up with the equation y = -2x + 3 to represent the slope of the first drop of the roller coaster. Can you help them find the y-intercept of this drop?

• 3

• 1

• 0

• -2

Trinity goes to the grocery store to buy oranges for her friends Layla, Miranda, Neveah, and Kimberly. If the cost of the oranges (y) is directly proportional to the number of oranges she buys (x), and y = 0.5x, find the constant of proportionality.

• 1

• 2

• 0

• 0.5

Christopher, Dawson, and Jacob are planning a charity event. They are given the equation y = -3x + 2 to calculate the remaining funds after each hour of the event. How should they graph the equation?

• Graph the line representing the relationship between the number of hours Christopher manages the event (x) and the remaining funds (y), starting with $2 and losing $3 per hour.

• Graph the line with a y-intercept of 2, representing the relationship between the number of hours Dawson manages the event (x) and the remaining funds (y), starting with $0 and losing $3 per hour.

• Graph the line with a slope of -2, representing the relationship between the number of hours Jacob manages the event (x) and the remaining funds (y), starting with $1 and losing $2 per hour.

• Graph the line representing the relationship between the number of hours Christopher and Dawson manage the event together (x) and the remaining funds (y), starting with $2 and losing $3 every 2 hours.

Patrick and Tanner are planning a bike ride on a trail with a slope of 2 and the y-intercept is -3. They are trying to understand the equation of their bike trail. Can you help them by choosing the correct equation?

• y = 2x + 3

• y = 2x + 1

• y = -2x - 3

• y = 2x - 3

Jacob and Jordan are running a lemonade stand. If they charge $0.3 for a glass of lemonade and the number of glasses sold is represented by x, determine the constant of proportionality for the relationship y = 0.3x, where y represents the total money Jacob and Jordan earn.

• 0.1

• 0.5

• 0.2

• 0.3

Kelly is helping Ramsey and Christian build a slope for their new ski center. They want the slope to have a gradient that matches the equation y = 4x - 2. What is the gradient of the slope that Patrick and Neveah will use at the ski center?

• -4

• 0

• 4

• 2

Jacob is going to visit his friend Jordan by taxi. The taxi has a base fare of 3 dollars and charges a fixed amount per mile. If the fare when the taxi is not moving (0 miles) is 2 dollars, find the equation that represents the fare (y) as a function of the distance (x).

• y = -x - 3

• y = -x + 3

• y = -x + 2

• y = x - 3

Mason and Layla plan to create a straight path between two trees in their garden. The coordinates of these trees are (3, 5) and (7, 9). Help Christopher find the equation of the straight line that passes through these points.

• y = x - 2

• y = x + 4

• y = x + 2

• y = x - 4

Trinity is trying to calculate the profit of her lemonade stand. The profit is determined by the equation of a straight line with a slope of 3 and a y-intercept of -2. What is the equation of the straight line that represents her profit?

• y = 3x - 2

• y = 2x + 3

• y = 3x + 2

• y = -3x - 2