Slope and Slope Intercept Form Worksheet

Slope and line facts behind every answer key

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Every line on these sheets goes through grid points with whole-number coordinates, so a slope can be counted off the graph square by square. The key is worked out with whole-number arithmetic and every slope is given in lowest terms.

Idea	What it says
Slope	rise over run: the change in y divided by the change in x, m = (y₂ − y₁) ÷ (x₂ − x₁)
Slope-intercept form	y = mx + b, where m is the slope and b is the y-intercept, the point (0, b) where the line crosses the y-axis
Positive and negative	a line that climbs from left to right has a positive slope; one that falls has a negative slope
Zero slope	a horizontal line, y = b: it rises by nothing, however far it runs
Undefined slope	a vertical line, x = a: its run is 0, and nothing can be divided by 0
From a table	pick any two rows: the difference of the y values over the difference of the x values, in the same order
Standard form	Ax + By = C. Put y = 0 to find the x-intercept, C ÷ A, and x = 0 to find the y-intercept, C ÷ B
From a point and a slope	put the point into y = mx + b and solve for b: b = y − mx

A short code sits at the foot of every sheet and of its answer key, so loose pages can be matched. The share link rebuilds that sheet, number for number: a key printed next week still fits the copies handed out today.

How it works

This free slope and slope intercept form worksheet has 10 lines such as y = −5x + 8, and students write each slope and y-intercept. Three more tasks have them rewrite equations as y = mx + b and write equations of their own.

Read the full guide

Identify the slope and y-intercept worksheet

Name the slope and y-intercept, the opening task, prints lines already in y = mx + b. Set Equations to Other forms too and lines such as y = 7 − 2x and 3x + 2y = 4 appear: the first needs reordering, the second solving for y. Rewrite as y = mx + b asks for the whole line: 5x − 3y = 27 becomes y = 5/3x − 9.

Writing equations in slope-intercept form worksheet

Equation from slope and y-intercept is the first rung: Slope 5, y-intercept 3 gives y = 5x + 3. Equation from a point or two is harder. Common Core standard 8.EE.6 has grade 8 students derive y = mx + b, so y = mx + b worksheets need both directions: read the numbers, then build the equation.

Warn the class that y = 3x still has a y-intercept, 0. Lines like it turn up now and then.
Equation from a point or two alternates a slope with one point and two points: every other problem is easier.

Questions and answers

How do I get a slope-intercept form worksheet PDF?

Press Print and choose Save as PDF in your browser's print window. With one task lit, 10, 15 or 20 problems fit one page of Letter or A4. The answer key follows on a page of its own.

Does the answer key show the working?

Only the result. For Name the slope and y-intercept the key gives the two numbers, such as slope 3/5, y-intercept 5. For Rewrite as y = mx + b it prints the finished equation, so students see the line solved for y but not the steps between.

Should a finding slope and y-intercept worksheet include standard form?

Yes, once y = mx + b is secure. 2x + 3y = 12 hides its slope, −2/3, and its y-intercept, 4, until it is solved for y. Other forms too adds lines like it to the sheet.

Which settings suit a first determining slope and y-intercept worksheet?

Set Slopes to Whole numbers and Signs to Positive only, and leave Equations on y = mx + b only. Lines then read like y = 2x + 6 or y = x − 1. The y-intercept can still be negative.

Is there a slope-intercept worksheet with graphs?

Not on this page: it has no grids, so every problem is an equation. The graphing slope-intercept form worksheets print blank grids to draw lines on, and drawn lines to write equations from.

Slope and Slope Intercept Form Worksheet With Answer Key