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Slope-Intercept Form Quiz Generator

Generate printable multiple-choice slope-intercept form quizzes for identifying m and b and rewriting linear equations, with verified answers.

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Free step-by-step lesson

Learn slope-intercept form

Slope-intercept form, y = mx + b, displays a line's slope m and y-intercept b directly. Equivalent linear equations can be rearranged into this form without changing their solution set.

By the end of this lesson

You will read and write y = mx + b and identify its slope and y-intercept.

Review first if you need it: Slope Graphs, Two-Step Equations
01

The idea in plain English

The form y = mx + b is a compact description of a straight line.

The number multiplying x is the slope. The separate number is where the line crosses the y-axis.

02

How to recognise this kind of question

  • The equation contains x and y.
  • The question asks for slope, y-intercept, or a line equation.
  • You may need to isolate y first.

Quick decision: Get y alone, then read m from the x-term and b from the separate number.

03

The method

  1. Isolate y on one side of the equation.
  2. Read the coefficient of x as the slope m.
  3. Read the constant as the y-intercept b, or the point (0, b).
04

Worked examples

Start here

Rewrite y − 4 = 2x in slope-intercept form.

  1. Add 4 to both sides.
  2. Write the x-term before the constant.

Answer: y = 2x + 4

A little harder

Rewrite 2y = 6x − 8.

  1. Divide every term by 2.
  2. y = 3x − 4, so m = 3 and b = −4.

Answer: y = 3x − 4

05

Your turn—with help

Try it

Find m and b in y = −2x + 5.

Need a hint?

m is attached to x; b stands alone.

Show the answer and steps
  1. Read the coefficient of x: m = −2.
  2. Read the constant: b = 5.

Answer: m = −2, b = 5

06

Watch out for this mistake

Incorrect: In y = 3x + 4, the slope is 4

Why it fails: The constant is the y-intercept, not the slope.

Do this instead: The coefficient of x is the slope, so m = 3.

07

Quick check

Try these without looking. Then open each answer to check your thinking.

Question 1

y = 4x − 1

Need a hint?

Read the x coefficient and constant.

Show the answer and steps
  1. The slope is 4.
  2. The y-intercept is −1.

Answer: m = 4, b = −1

Question 2

y = x + 7

Need a hint?

An unwritten coefficient is 1.

Show the answer and steps
  1. x means 1x.

Answer: m = 1, b = 7

Question 3

y − 3 = 2x

Need a hint?

Add 3 to isolate y.

Show the answer and steps
  1. Add 3 to both sides.
  2. Read m = 2 and b = 3.

Answer: y = 2x + 3

Remember thism moves the line; b begins it on the y-axis.

Common mistakes

  • Treating b as an x-intercept instead of a y-intercept.
  • Missing the negative sign on the slope or constant.
  • Stopping before y is isolated.

Practice tips

  • Point to m and b after every equation is rewritten.
  • Check the y-intercept by substituting x = 0.
Free printable practice

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10 verified problemsSeed 482731
MMathBatch
Worksheet #482731
Algebra practice

Slope-Intercept Form

Name Date

Select the best answer for each slope-intercept question.

    1. A.9
    2. B.
    3. C.
    4. D.
    1. A.(0, 7)
    2. B.(−7, 0)
    3. C.
    4. D.(0, −7)
    1. A.
    2. B.
    3. C.
    4. D.
    1. A.
    2. B.
    3. C.
    4. D.
    1. A.
    2. B.
    3. C.
    4. D.3
    1. A.(−1, 0)
    2. B.(0, 1)
    3. C.(0, −1)
    4. D.
    1. A.
    2. B.
    3. C.
    4. D.
    1. A.
    2. B.
    3. C.
    4. D.
    1. A.9
    2. B.
    3. C.
    4. D.
    1. A.(0, −6)
    2. B.(0, 6)
    3. C.(−6, 0)
    4. D.
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