Grade 9 · Algebra & functions

Slope-intercept intercepts practice

Slope-intercept intercepts is a grade 9 math skill aligned to Common Core standard HSA.CED.A.2: create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 slope-intercept intercepts problems our math games drill.

CCSS HSA.CED.A.210 questions in the bank
Sample questions

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Question 1easy

The yy-intercept of the graph of y=−2x+10y = -2x + 10 in the coordinate plane is (0,y)(0, y). What is the value of yy?

At the yy-intercept, x=0x = 0, so y=−2(0)+10=10y = -2(0) + 10 = 10.

Question 2easy

The yy-intercept of the graph of y=4x+8y = 4x + 8 in the coordinate plane is (0,y)(0, y). What is the value of yy?

At the yy-intercept, x=0x = 0, so y=4(0)+8=8y = 4(0) + 8 = 8.

Question 3easy

The yy-intercept of the graph of y=−5x+20y = -5x + 20 in the coordinate plane is (0,y)(0, y). What is the value of yy?

At the yy-intercept, x=0x = 0, so y=−5(0)+20=20y = -5(0) + 20 = 20.

Question 4easy

The xx-intercept of the graph of y=2x−8y = 2x - 8 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=2x−80 = 2x - 8, 2x=82x = 8, and x=4x = 4.

Question 5easy

The xx-intercept of the graph of y=−3x+12y = -3x + 12 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=−3x+120 = -3x + 12, 3x=123x = 12, and x=4x = 4.

Question 6easy

The xx-intercept of the graph of y=5x−15y = 5x - 15 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=5x−150 = 5x - 15, 5x=155x = 15, and x=3x = 3.

Question 7easy

The xx-intercept of the graph of y=6x+24y = 6x + 24 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=6x+240 = 6x + 24, 6x=−246x = -24, and x=−4x = -4.

Question 8medium

The xx-intercept of the graph of y=−4x−20y = -4x - 20 in the coordinate plane is (x,0)(x, 0). What is the value of xx?

At the xx-intercept, y=0y = 0, so 0=−4x−200 = -4x - 20, −4x=20-4x = 20, and x=−5x = -5.

Tests that cover slope-intercept intercepts:
PSAT 8/9SATACTLEAP 2025NC EOG/EOC
More Grade 9 skills:
Rational exponentsSlope-point line equationsRational equation solving (SAT)Systems of equationsRadical to exponent conversionsQuadratic minimum x-valueQuadratic formulaQuadratic distinct real solutions countAll Grade 9 practice →

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