Point-Slope Form Worksheet (Free PDF + Answer Key)
Here’s a free point-slope form worksheet with ten practice problems and a full answer key. It covers a point and slope, two points, horizontal and vertical lines, and one word problem. Print it, or save it as a PDF from your browser’s print dialog.
What the Worksheet Covers
The problems build from easy to challenging, so they’re good for homework, review, or a quick quiz. You’ll practice substituting a point and slope, finding the slope from two points first, and spotting the special cases where a line is horizontal or vertical.
Point-Slope Form Practice Problems
- Write point-slope form for a line through (2, 3) with slope 4.
- Write point-slope form for a line through (1, 5) with slope −2.
- Write point-slope form for a line through (4, 1) with slope 3/4.
- Write point-slope form for a line through (3, −2) with slope 5.
- Find point-slope form for the line through (1, 2) and (4, 8).
- Find point-slope form for the line through (−2, 1) and (2, 9).
- Write the equation of a line through (3, 4) with slope 0.
- Write the equation of the line through (2, 1) and (2, 7).
- Convert y + 2 = 5(x − 3) to slope-intercept form.
- A plan costs $30 plus $20 a month. Write the cost as a point-slope equation.
How to Use It
Try every problem on paper before you peek at the answers. If you get stuck, the three-step method and the worked examples walk through the same kinds of questions. You can also verify any answer with the calculator.
Show the answer key
- y − 3 = 4(x − 2)
- y − 5 = −2(x − 1)
- y − 1 = (3/4)(x − 4)
- y + 2 = 5(x − 3)
- m = 2, so y − 2 = 2(x − 1)
- m = 2, so y − 1 = 2(x + 2)
- y = 4 (horizontal line)
- x = 2 (vertical line, undefined slope)
- y = 5x − 17
- Point (0, 30), slope 20: y − 30 = 20(x − 0)
Frequently asked questions
Is the point-slope form worksheet free?
Yes, it’s completely free. Print it straight from this page or use your browser’s print dialog to save it as a PDF.
Does the worksheet include an answer key?
It does. A full answer key sits at the bottom of the page, hidden until you open it, so you can try every problem before you check.
Can I print the point-slope worksheet?
Yes. Use the Print button below, or press Ctrl+P (Cmd+P on Mac). The layout is set up to print cleanly on a single sheet.
What grade level is this worksheet for?
It fits Algebra 1 and early Algebra 2, roughly grades 8 to 10, and it’s handy for anyone reviewing linear equations.
Keep learning
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