Slope formula. Game on.

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 10 slope formula problems our math games drill.

CCSS 8.F.B.410 questions in the bank
Kickoff

8 plays. No signup.

Warm-upeasy

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

Slope =8−23−1=62=3.= \dfrac{8 - 2}{3 - 1} = \dfrac{6}{2} = 3\textsf{.}

Mid-gameeasy

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

Slope =−3−54−0=−84=−2.= \dfrac{-3 - 5}{4 - 0} = \dfrac{-8}{4} = -2\textsf{.}

Mid-gameeasy

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

Slope =7−75−2=03=0.= \dfrac{7 - 7}{5 - 2} = \dfrac{0}{3} = 0\textsf{.}

Mid-gameeasy

What is the slope of the line through (−1,4)(-1, 4) and (2,−5)(2, -5)?

Slope =−5−42−(−1)=−93=−3.= \dfrac{-5 - 4}{2 - (-1)} = \dfrac{-9}{3} = -3\textsf{.}

Mid-gameeasy

What is the slope of the line through (1,5)(1, 5) and (6,3)(6, 3)?

Slope =3−56−1=−25=−25.= \dfrac{3 - 5}{6 - 1} = \dfrac{-2}{5} = -\dfrac{2}{5}\textsf{.}

Mid-gameeasy

What is the slope of the line through (−4,3)(-4, 3) and (2,3)(2, 3)?

The yy-values are equal, so the line is horizontal: slope =3−32−(−4)=06=0.= \dfrac{3 - 3}{2 - (-4)} = \dfrac{0}{6} = 0\textsf{.}

Mid-gameeasy

What is the slope of the line through (−2,−1)(-2, -1) and (2,1)(2, 1)?

Slope =1−(−1)2−(−2)=24=12.= \dfrac{1 - (-1)}{2 - (-2)} = \dfrac{2}{4} = \dfrac{1}{2}\textsf{.}

Buzzer beatereasy

What is the slope of the line through (3,−2)(3, -2) and (5,8)(5, 8)?

Slope =8−(−2)5−3=102=5.= \dfrac{8 - (-2)}{5 - 3} = \dfrac{10}{2} = 5\textsf{.}

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

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Tests that cover slope formula:
NAEPSBACPSAT 8/9SC READYNC EOG/EOC
Reporting domains for this skill
SAT All grades: AlgebraACT All grades: Preparing for Higher MathSTAAR Algebra I: Linear Functions, Equations, and InequalitiesSTAAR Grade 7: Computations and Algebraic RelationshipsSTAAR Grade 8: Computations and Algebraic RelationshipsMAP Growth Math 6+: Operations and Algebraic Thinking
More Grade 8 skills
Operations with scientific notation (ACT)Scientific notationSolve linear equation for x (ACT)Square roots and cube rootsTriangle angle sumMulti-step linear equationsSimilar triangle shadows (ACT/SAT/PSAT 8/9/10)Modeling linear situations (ACT/SAT/PSAT 8/9/10)All Grade 8 practice →

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