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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 2 — Foundation
What is the point-slope form of a line with slope m = 3 passing through the point (2, 5)?
y - 5 = 3(x - 2)
y + 5 = 3(x + 2)
y = 3x + 5
y - 2 = 3(x - 5)
Convert the point-slope form y - 1 = -2(x + 3) into slope-intercept form.
y = -2x - 5
y = -2x + 7
y = 2x + 5
y = -2x + 1
What is the slope of the line expressed in point-slope form ?
2
4
If a line has a slope of 4 and passes through the point (1, 2), what is the point-slope form?
y - 2 = 4(x - 1)
y + 2 = 4(x + 1)
y - 1 = 4(x - 2)
y = 4x + 2
Which of the following is NOT a valid point-slope form of the line with slope -1 passing through (3, 4)?
y - 4 = -1(x - 3)
y + 4 = -1(x + 3)
y - 4 = -1(x - 3)
y - 4 = -1(x - 5)
Determine the y-intercept of the line y - 3 = 3(x - 1).
0
3
6
9
Using the point-slope form, what is the equation of a line with slope - rac{1}{3} through point (0, 2)?
y - 2 = - rac{1}{3}(x - 0)
y + 2 = - rac{1}{3}(x + 0)
y - 2 = -3(x - 0)
y - 2 = - rac{1}{3}(x + 0)
What is the equation of a line in point-slope form with slope 5 that passes through the point (4, 1)?
y - 1 = 5(x - 4)
y + 1 = 5(x + 4)
y - 1 = 5(x + 4)
y + 1 = 5(x - 4)
If the slope of a line is rac{2}{3} and it passes through the origin, what is the point-slope form?
y - 0 = rac{2}{3}(x - 0)
y + 0 = rac{2}{3}(x + 0)
y = rac{2}{3}x
y - 0 = rac{3}{2}(x - 0)
What is the point-slope form of the line that has a slope of 1 and passes through the point (-1, -1)?
y + 1 = 1(x + 1)
y - 1 = 1(x - 1)
y + 1 = 1(x - 1)
y + 1 = 1(x + 2)
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