Point-Slope Form Worksheet
Practice identifying, writing, and using the point-slope form of linear equations to solve problems.
Includes
Standards
Point-Slope Form Practice
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. The point-slope form of a linear equation is written as y - y₁ = m(x - x₁), where m represents the and (x₁, y₁) represents a on the line.
2. To convert an equation from point-slope form to slope-intercept form (y = mx + b), you need to the slope and then the y₁ term to the other side.
3. Which of the following equations is in point-slope form?
y = 2x + 5
y - 3 = 4(x + 1)
3x + 2y = 7
x = 6
4. What is the slope of the line represented by the equation y + 2 = -3(x - 5)?
2
-3
5
-5
5. Write the equation of a line in point-slope form that passes through the point (2, 5) with a slope of 3.
6. A line passes through the points (1, 4) and (3, 10). Write the equation of this line in point-slope form. (Hint: First find the slope.)
7. The point-slope form is only used for lines that do not pass through the origin.
True
False
8. Graph the line represented by the equation y - 1 = 2(x + 3) on the coordinate plane below.