Point-Slope Form Worksheet

Practice identifying, writing, and using the point-slope form of linear equations to solve problems.

Grade 10 Math AlgebraPoint-slope Form

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.D.10

7 sections · Free to use · Printable

Point-Slope Form Practice

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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)?

-3

-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.