Grade 8 · Algebra & functions

Graphing linear equations practice

Graphing linear equations 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 217 graphing linear equations problems our math games drill.

CCSS 8.F.B.4217 questions in the bank
Sample questions

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Question 1easy

What is the slope of the line y=12x1y = \dfrac{1}{2}x - 1?

In y=mx+by = mx + b, the slope is m=12m = \dfrac{1}{2}.

Question 2easy

What is the yy-intercept of the line y=12x4y = \dfrac{1}{2}x - 4?

In y=mx+by = mx + b, the yy-intercept is b=4b = -4.

Question 3easy

What is the slope of the line y=32x+2y = \dfrac{3}{2}x + 2?

In y=mx+by = mx + b, the slope is m=32m = \dfrac{3}{2}.

Question 4easy

What is the yy-intercept of the line y=14x6y = \dfrac{1}{4}x - 6?

In y=mx+by = mx + b, the yy-intercept is b=6b = -6.

Question 5easy

What is the slope of the line y=12x2y = \dfrac{1}{2}x - 2?

In y=mx+by = mx + b, the slope is m=12m = \dfrac{1}{2}.

Question 6easy

What is the yy-intercept of the line y=34x5y = \dfrac{3}{4}x - 5?

In y=mx+by = mx + b, the yy-intercept is b=5b = -5.

Question 7easy

What is the slope of the line y=32x8y = -\dfrac{3}{2}x - 8?

In y=mx+by = mx + b, the slope is m=32m = -\dfrac{3}{2}.

Question 8easy

What is the yy-intercept of the line y=34x7y = \dfrac{3}{4}x - 7?

In y=mx+by = mx + b, the yy-intercept is b=7b = -7.

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