Equation of a Line - Grade 12 Math Worksheet
This worksheet covers key concepts related to the equation of a line, including slope-intercept form, point-slope form, and graphing linear equations, suitable for Grade 12 students.
Includes
Standards
Topics
Equation of a Line
Name:
Date:
Score:
Read each question carefully and provide clear, concise answers. Show all your work for full credit.
1. What is the slope of the line passing through the points (3, 5) and (7, 13)?
2
-2
1/2
-1/2
2. Which of the following equations represents a line parallel to y = 3x - 5?
y = -3x + 2
y = (1/3)x + 1
y = 3x + 7
y = -(1/3)x - 4
3. The equation y = mx + b is known as the form of a linear equation.
4. The of a line is a measure of its steepness.
5. A line with an undefined slope is a line.
6. Find the equation of the line that passes through the point (2, -3) and has a slope of 4. Write your answer in slope-intercept form.
7. Determine the equation of the line that passes through the points (-1, 6) and (3, -2).
8. The y-intercept of the line y = 5x - 2 is (0, 2).
True
False
9. Perpendicular lines have slopes that are negative reciprocals of each other.
True
False
10. Graph the line represented by the equation y = (-2/3)x + 1 on the coordinate plane below.
Match each term with its correct definition.
A. Slope-intercept form
1. y - y1 = m(x - x1)
B. Point-slope form
2. The point where the line crosses the y-axis.
C. Y-intercept
3. y = mx + b
Related Worksheets
Perfect Square Trinomials
This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.
Equations with Infinite and No Solutions
Explore linear equations that result in infinite solutions (identities) or no solutions (contradictions) at a Grade 12 level.
Grade 12 Algebra: Standard Form
A Grade 12 math worksheet focusing on converting between different forms of linear equations, identifying slopes and intercepts, and graphing linear equations in standard form.
Characteristics of Parabolas Worksheet
Explore and identify the key characteristics of parabolas, including vertex, focus, directrix, and axis of symmetry.
Solving Equations with Variables on Both Sides
This worksheet provides practice on solving linear equations where variables appear on both sides of the equals sign.
Evaluating Algebraic Expressions
This worksheet focuses on evaluating complex algebraic expressions involving various operations and functions, suitable for Grade 12 students.
Graphing Parabolas Worksheet
A Grade 12 math worksheet on graphing parabolas, covering standard form, vertex form, and intercepts.
Grade 12 Sigma Notation Worksheet
A comprehensive worksheet for Grade 12 students covering sigma notation, including evaluating sums, expanding series, and writing expressions in sigma notation.