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This worksheet covers Point-Slope Form, which is part of the Linear Equations module in the Middle School Math course. Practice problems are designed to strengthen key concepts and build confidence.
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View Destroyer Course →Linear Equations • Middle School Math
Set 3 — Foundation
What is the point-slope form of the line that passes through the point (2, 3) with a slope of 4?
y - 3 = 4(x - 2)
y + 3 = 4(x + 2)
y - 2 = 4(x - 3)
y + 2 = 4(x + 3)
Identify the slope in the equation y - 5 = -2(x + 1).
-2
2
5
1
Convert the equation y - 7 = 3(x - 4) into slope-intercept form.
y = 3x - 5
y = 3x + 7
y = 3x + 1
y = 3x - 3
If the slope of a line is 1/2 and it passes through (6, 4), write the point-slope form.
y - 4 = (x - 6)
y + 4 = (x + 6)
y - 6 = (x - 4)
y + 6 = (x + 4)
What is the equation of the line with slope -3 passing through the point (5, -2)?
y + 2 = -3(x - 5)
y - 2 = -3(x + 5)
y + 5 = -3(x - 2)
y - 5 = -3(x + 2)
If you have the equation y - 1 = 4(x - 3), what is the y-intercept?
13
5
1
4
Which of the following is the point-slope form for a line with slope 0 that passes through (1, 2)?
y - 2 = 0(x - 1)
y + 2 = 0(x + 1)
y - 1 = 0(x - 2)
y + 1 = 0(x + 2)
What is the point-slope equation for a line with slope -1 that goes through (-2, 4)?
y - 4 = -1(x + 2)
y + 4 = -1(x - 2)
y - 2 = -1(x + 4)
y + 2 = -1(x - 4)
Which of the following represents the line in point-slope form that passes through (0, 0) with a slope of 5?
y - 0 = 5(x - 0)
y + 0 = 5(x + 0)
y - 5 = 5(x - 0)
y + 5 = 5(x - 0)
For the line represented by y - 3 = 2(x + 1), what is the y-value when x = 1?
5
7
3
1
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