Given the slope and one point, writing y = mx + b comes down to a single unknown: the intercept. These free printable worksheets hand over both m and a point and ask for the whole equation, so the one move to practice is backing out b.
Kid stuck on one? You don’t just get the sheet.
The answer key prints on a separate page.
The slope is already given, so the work is one signed subtraction: b = y − mx. With m = 2 through (1, 3), that is b = 3 − 2 · 1 = 1, so the line is y = 2x + 1. Where the two-points sheet makes a child find the slope first, this page removes that step to concentrate on the intercept — which is where the sign errors live, since mx is subtracted and a negative point or a negative slope flips it.
It is the gentler of the two writing-linear-equations skills and a good place to start: with the slope in hand, a child sees clearly how a single known point pins the whole line down. Every step-by-step walk here substitutes the point, solves for b, and writes the finished equation, so the answer is never left as a slope alone.
One question from this sheet, worked through a step at a time.
Write the equation of the line with slope 3 through (2, 15)