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
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Date:
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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