Point-Slope Form Worksheet
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Point-Slope Form Worksheet
Name:Date:Class:
1.Write the equation of the line through with slope
2.Write the equation of the line through with slope
3.Write the equation of the line through with slope
4.Write the equation of the line through with slope
5.Write the equation of the line through with slope
6.Write the equation of the line through with slope
7.Write the equation of the line through with slope
8.Write the equation of the line through with slope
9.Write the equation of the line through with slope
10.Write the equation of the line through with slope
11.Write the equation of the line through with slope
12.Write the equation of the line through with slope
13.Write the equation of the line through with slope
14.Write the equation of the line through with slope
15.Write the equation of the line through with slope
16.Write the equation of the line through with slope
17.Write the equation of the line through with slope
18.Write the equation of the line through with slope
19.Write the equation of the line through with slope
20.Write the equation of the line through with slope
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Worked Example
Problem: Write the equation with slope −3 through (2, 5).
- y − 5 = −3(x − 2)— Substitute m = −3, x₁ = 2, y₁ = 5 into point-slope form.
- y − 5 = −3x + 6— Distribute −3.
- y = −3x + 11— Add 5 to both sides.
Answer: y = −3x + 11
Frequently Asked Questions
y − y₁ = m(x − x₁). Most useful when you know a point and slope but not the y-intercept.
Distribute the slope, then add y₁ to both sides.
Yes. Any point produces a valid equation that describes the same line.