Slope formula Practice Questions (Grade 8)

Slope formula practice

Slope formula is a grade 8 math skill aligned to Common Core standard 8.F.B.4: construct a function to model a linear relationship between two quantities; determine the rate of change and initial value of the function. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 slope formula problems our math games drill.

CCSS 8.F.B.415 questions in the bank

Question 1easy

A line has rise $6$ and run $3$ . What is the slope?

Slope $= \dfrac{\text{rise}}{\text{run}} = \dfrac{6}{3} = 2$ .

Question 2easy

What is the slope of the line through $(1, 2)$ and $(3, 8)$ ?

Slope $= \dfrac{8 - 2}{3 - 1} = \dfrac{6}{2} = 3$ .

Question 3easy

A table for a linear function shows that when $x$ goes from $2$ to $5$ , $y$ goes from $1$ to $10$ . What is the slope?

Slope $= \dfrac{10 - 1}{5 - 2} = \dfrac{9}{3} = 3$ .

Question 4easy

A line has rise $-10$ and run $5$ . What is the slope?

Slope $= \dfrac{-10}{5} = -2$ .

Question 5easy

What is the slope of the line through $(0, 5)$ and $(4, -3)$ ?

Slope $= \dfrac{-3 - 5}{4 - 0} = \dfrac{-8}{4} = -2$ .

Question 6easy

In a table for a linear function, $y$ falls from $14$ to $2$ while $x$ goes from $1$ to $4$ . What is the slope of the function?

Slope $= \dfrac{2 - 14}{4 - 1} = \dfrac{-12}{3} = -4$ .

Question 7easy

What is the slope of the line through $(2, 7)$ and $(5, 7)$ ?

Slope $= \dfrac{7 - 7}{5 - 2} = \dfrac{0}{3} = 0$ .

Question 8easy

Between two rows of a table, $x$ increases from $4$ to $10$ and $y$ increases from $3$ to $7$ . What is the slope?

Slope $= \dfrac{7 - 3}{10 - 4} = \dfrac{4}{6} = \dfrac{2}{3}$ .

Slope formula practice

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