Determine Slopes of Graphs and Tables

Two right triangles, triangle ABC and triangle CDE, are shown on the coordinate plane.

The corresponding side lengths of triangle ABC and triangle CDE have a 2 to 1 ratio. What is the slope of the line containing the points A and E? Select two correct answers.

• 2/3

• 3/2

• 4/6

• 6/4

Lawrence and Darren each rent a canoe. The cost Lawrence's rental can be represented by the equation y=10x. Darren's rental is shown in the graph. Determine who pays more per hour for the canoe rental and how much each person pays per hour.

• Lawrence pays more per hour.

• Darren pays more per hour.

• Lawrence pays $10 per hour.

• Darren pays $12 per hour.

• Lawrence pays $12 per hour.

Katelyn and Sodnoa are both driving for a vacation. Katelyn's distance per hour is represented by the equation y=45x where x is the number of hours and y is the total distance. Sodnoa's driving is represented in the graph. Who drives at a greater speed per hour and by how much? Select two.

• Katelyn a greater distance per hour.

• Sodnoa drives 92 miles per hour.

• Sodnoa drives a greater distance per hour.

• Katelyn drives 5 miles per hour faster than Sodnoa.

• Sodnoa drives 1 mile per hour faster than Katelyn.

James and Jaden both download music. James's downloads are represented by the equation y=4x where x represents the number of minutes and y represents the total number of songs downloaded. Jaden's downloads are represented in the graph. Select all true statements.

• Jaden downloads more songs per minute than James.

• James downloads more songs per minute than Jaden.

• Jaden downloads 4 songs per minute.

• James downloads 4 songs per minute.

• Jaden downloads 2 songs per minute.

Function A is represented by the equation y=-2x+4. Function B is represented in the table. Which statements are true about functions A and B. Select two.

• Both functions have negative slopes.

• Both functions have positive y-intercepts.

• Function A and B have the same slope.

• Function B has a greater y-intercept than function A.

Function L is represented by the equation y=5x+2. Function M is represented in the table. Select three.

• Function L and M have positive slopes.

• Function L has a greater slope than function M.

• Function M has a greater slope than function L.

• Function L and M have the same y-intercept.

The graph shows the total snowfall (y), in inches, during a day in February, based on the time, in hours, since the snowfall began. Based on the graph, which statement about the snowfall is true?

• The snowfall increased the fastest from hour 3 to hour 4.

• The snowfall increased the fastest from hour 4 to hour 6.

• From hour 2 to hour 3, the snowfall increased by 1.5 inches.

• From hour 0 to hour 6, the snowfall increased at a constant rate.

A random sample of students who ride the bus or walk from home to school are surveyed. Two scatter plots are created from the data. The conclusions below are based on those scatter plots. *As the distance from home increases, the number of times a week a student rides the bus to school increases. *As the distance from home increases, the number of times a week a student walks to school decreases. Which set of statements about one of the scatter plots is most likely true?

• The x-axis represents the number of times a week a student walks to school, and the y-axis represents the distance from home. The line of best fit has a positive slope.

• The x-axis represents the number of times a week a student rides the bus to school, and the y-axis represents the distance from home. The line of best fit has a negative slope.

• The x-axis represents the distance from home, and the y-axis represents the number of times a week a student walks to school. The line of best fit has a negative slope.

• The x-axis represents the distance from home, and the y-axis represents the number of times a week a student rides the bus to school. The line of best fit has a negative slope.

Find the slope of the line.

• Undefined

• 0

• 1

• -1