Grade 9 · Algebra & functions

Linear equation forms practice

Linear equation forms 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 15 linear equation forms problems our math games drill.

CCSS HSA.CED.A.215 questions in the bank

Sample questions

Try 8 for free

Question 1easy

In $y = 3x + 1$ , what is the slope?

In slope-intercept form $y = mx + b$ , the coefficient of $x$ is the slope. Here $m = 3$ .

Question 2easy

In $y = -2x + 7$ , what is the $y$ -intercept?

In slope-intercept form $y = mx + b$ , the constant term $b$ is the $y$ -intercept. Here $b = 7$ .

Question 3easy

When $4x + 2y = 10$ is rewritten as $y = mx + b$ , what is the slope $m$ ?

Solve for $y$ : $2y = -4x + 10$ , so $y = -2x + 5$ and $m = -2$ .

Question 4easy

A line with slope $3$ passes through $(1, 5)$ . What is $b$ in $y = 3x + b$ ?

Substitute the point: $5 = 3(1) + b$ , so $b = 5 - 3 = 2$ .

Question 5easy

What is the $x$ -intercept of the line $2x + 3y = 12$ ?

Set $y = 0$ : $2x = 12$ , so $x = 6$ .

Question 6easy

In $y = -5x - 4$ , what is the slope?

In slope-intercept form $y = mx + b$ , the coefficient of $x$ is the slope. Here $m = -5$ .

Question 7easy

In $y = 4x - 9$ , what is the $y$ -intercept?

In slope-intercept form $y = mx + b$ , the constant term $b$ is the $y$ -intercept. Here $b = -9$ .

Question 8easy

What is the $x$ -intercept of the line $y = 2x - 8$ ?

Set $y = 0$ : $2x - 8 = 0$ , so $x = 4$ .

Tests that cover linear equation forms:

PSAT 8/9 SAT ACT LEAP 2025 NC EOG/EOC

More Grade 9 skills:

Linear equation expressions Linear equation from two points (SAT)Inconsistent linear systems Linear functions from tables Factoring quadratics Linear graph translations Factoring patterns Linear inequalities All Grade 9 practice →

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