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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 4 — Mastery
What is the point-slope form of a line with slope m = 3 that passes through the point (2, 5)?
y - 5 = 3(x - 2)
y + 5 = 3(x + 2)
y - 2 = 3(x - 5)
y + 2 = 3(x + 5)
If a line has a slope of -2 and passes through the point (1, 4), what is its equation in point-slope form?
y - 4 = -2(x - 1)
y + 4 = -2(x + 1)
y - 1 = -2(x - 4)
y + 1 = -2(x + 4)
Which of the following represents the equation of a line with slope 1/2 through the point (0, 0)?
y = x
y - 0 = (x - 0)
Convert the equation y - 3 = 4(x + 2) into slope-intercept form.
y = 4x + 11
y = 4x + 3
y = 4x - 5
y = -4x + 3
A line passes through the point (-3, 2) and has a slope of 5. What is the point-slope form of this line?
y - 2 = 5(x + 3)
y + 2 = 5(x - 3)
y - 3 = 5(x + 2)
y + 3 = 5(x - 2)
If a line with slope -1 passes through the point (4, -2), what is its equation in point-slope form?
y + 2 = -1(x - 4)
y - 2 = -1(x + 4)
y + 4 = -1(x - 2)
y - 4 = -1(x + 2)
What is the slope of the line represented by the equation y - 1 = 3(x + 2)?
3
1/3
-3
-1/3
Which of the following is the correct point-slope form for the line with slope 2 passing through the point (3, 7)?
y - 7 = 2(x - 3)
y + 7 = 2(x + 3)
y - 3 = 2(x - 7)
y + 3 = 2(x + 7)
If the point-slope form of a line is given by y - 5 = -3(x + 1), what is the slope of the line?
-3
3
1/3
-1/3
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y + 0 = (x + 0)
y + 0 = 2(x + 0)
Determine the equation in point-slope form of a line with slope 1 through the point (-1, -1).
y + 1 = 1(x + 1)
y + 1 = -1(x + 1)
y - 1 = 1(x - 1)
y - 1 = -1(x + 1)