Finding Slope from Graphs and Given Two Points

What letter represents the slope in the equation y = mx + b ?

• x

• y

• m

• b

The graph of a linear function is shown on the coordinate grid. What is the slope of the function? Enter numbers in the boxes provided.

Mathematical Equivalence

ON

The graph of a linear function is shown on the coordinate grid. What is the slope of the graph of this function in decimal form? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Mathematical Equivalence

ON

Triangle PSV is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers. What is the slope of PV? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Mathematical Equivalence

ON

What are the slope and the y-intercept of the graph of the linear function shown on the grid?

• Slope = 4, y-intercept = -6

• Slope = -4, y-intercept = -1.5

• Slope = -1/4, y-intercept = -1.5

• Slope = 1/4, y-intercept = -6

The line graphed on the coordinate grid can be used to determine the number of inches of water added to a swimming pool after different numbers of hours. Which statement best describes the slope of the graphed line?

• The water is being added at a rate of 0.42 inch per hour.

• The water is being added at a rate of 0.80 inch per hour.

• The water is being added at a rate of 2.40 inches per hour.

• The water is being added at a rate of 1.25 inches per hour.

A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered. What is the slope of the line that models this situation? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Mathematical Equivalence

ON

The table shows a linear relationship between the variables x and y. What is the slope of the linear relationship? (a)  

• 1.5

• 2.5

• 3.

• 0

The table shows the number of gallons of gasoline in a car’s gas tank after the car has been driven x miles. When these data are graphed on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of this line?

• Slope = 1/25, y-intercept = 375

• Slope = -1/25, y-intercept = 15

• Slope = 25, y-intercept = 375

• Slope = -25, y-intercept = 15

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2