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
Name:
Date:
Score:
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.
Related Worksheets
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Mathematical Proofs: Introduction and Basic Techniques
This worksheet introduces fundamental concepts and techniques in mathematical proofs, suitable for Grade 10 students.
Three-Step Equations Worksheet
Solve three-step algebraic equations involving various operations for Grade 10 students.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Parts of an Expression Review
This worksheet helps Grade 10 students identify and understand the different parts of algebraic expressions, including terms, coefficients, variables, and constants.