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.
Kid stuck on one? You don’t just get the sheet.
The answer key prints on a separate page.
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.
Two levels build the skill. The first gives the slope and one point, so the only work is the y-intercept — one signed subtraction. The second gives two points, so the slope has to be found before the intercept can be. Both come out to whole numbers on purpose: a fractional slope needs an answer pad that can write a/b, which is a separate sheet.
One question from this sheet, worked through a step at a time.
Write the equation of the line with slope 1 through (−2, 2)