Grade 8 Mathematics - Slope and Rate of Change Worksheet

To find the slope of a line using two points, you will use the slope of a line formula. Finish the formula below. m = (y₂ - y₁) / [ ]

• x₂ - x₁

• y₂ + y₁

• x₁ - x₂

• y₁ - y₂

To find the slope of a line using a table, you can use the slope formula. Write the slope formula.

• m = (y₂ - y₁) / (x₂ - x₁)

• m = (x₂ - x₁) / (y₂ - y₁)

• m = (y₁ + y₂) / (x₁ + x₂)

• m = (x₁ - x₂) / (y₁ - y₂)

Find the slope of the line that passes through the point (15, -12) and (21, -15).

• 2

• 1/2

• -2

• -3

What is the slope of the table?

• 5/3

• 5

• 2

• 3/5

To find the y-intercept from a table, use the slope and one point from the table, substitute the values into the slope-intercept equation y = mx + b, and solve. Use the slope found in Question 2 and one point from the table to find the y-intercept. Table: x y -3 -6 -1 2 1 10 3 18 y = mx + b _____ = ____ · _____ + b _____ = _____ + b _____ = b

• b = -6 + 3m (The actual value of m is needed from Question 2, which is not present in the image.)

• b = -3 + 6m

• b = 6 - 3m

• b = 3 - 6m

What is the y-intercept of the table? Write it as an ordered pair.

• (0, 3.5) (By extending the pattern, the y-intercept is 3.5)

• (0, 2) (By extending the pattern, the y-intercept is 2)

• (0, 0) (By extending the pattern, the y-intercept is 0)

• (0, -1) (By extending the pattern, the y-intercept is -1)

To find the slope of a line on a graph, you can select two points on the line and plug them into the slope formula or you can do rise/run. Step 1: Identify two points on the graphed line and write them below.

• (0, 1) and (2, 3) (These are two points on the line in the graph)

• (1, 2) and (3, 5) (These points are not on the line in the graph)

• (0, 0) and (1, 1) (These points are not on the line in the graph)

• (2, 2) and (4, 4) (These points are not on the line in the graph)

To find the slope of a line on a graph, you can select two points on the line and plug them into the slope formula or you can do rise/run. Step 2: Count the rise. Step 3: Count the run. Step 4: Divide and simplify.

• Rise: 2, Run: 2, Slope: 1

• Rise: 3, Run: 1, Slope: 4

• Rise: 1, Run: 2, Slope: 0.5

• Rise: 2, Run: 1, Slope: 2

Determine the slope of the graph.

• A. 2

• B. -1/2

• C. 1/2

• D. -2

What is the y-intercept of Jose’s line?

• A. 7

• B. -1/2

• C. 1/2

• D. 3