Writing linear equations worksheets

Writing y = mx + b is the skill that turns points into a line: find the slope, back out the y-intercept, and put the two together. These free printable worksheets give two points, or a slope and a point, and ask for the whole equation.

Writing linear equations
Writing linear equations worksheet — Points, a parallel or perpendicular line, or a story, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

This is the one thing the slope and intercept sheets stop short of. Slope finds m on its own; an intercept sheet finds where a line crosses an axis. Writing the equation is putting both into y = mx + b — a real two-step from two points: the slope is (y₂ − y₁) ÷ (x₂ − x₁), and then a point goes back in to solve b = y − mx. Every step-by-step walk here shows the slope found first and the intercept backed out, because a child who stops at the slope has half an answer.

Why this sheet works

Five ways of handing over a line share one page: a slope and a point, two points, a line to run parallel to, a line to meet at a right angle, and a short story with a starting value and a rate. Each ends in the same two numbers, and every answer is whole on purpose: a fractional slope needs an answer pad that can write a/b, which is a separate sheet. The parallel and perpendicular cases each have a sheet of their own.