Podcast
Questions and Answers
What is the slope of a horizontal line?
What is the slope of a horizontal line?
- Positive
- Negative
- Zero (correct)
- Undefined
Parallel lines have slopes that are negative reciprocals of each other.
Parallel lines have slopes that are negative reciprocals of each other.
False (B)
What is the slope of a line that passes through the points (1, 2) and (3, 6)?
What is the slope of a line that passes through the points (1, 2) and (3, 6)?
2
The equation y = mx + b is known as the ______ form of a linear equation.
The equation y = mx + b is known as the ______ form of a linear equation.
Match the following equations with their corresponding forms:
Match the following equations with their corresponding forms:
Which of the following equations represents a line with a slope of -2 and a y-intercept of 3?
Which of the following equations represents a line with a slope of -2 and a y-intercept of 3?
The equation of a line in ______ form is y = mx + b.
The equation of a line in ______ form is y = mx + b.
The slope of the line represented by the equation x = 4 is 0.
The slope of the line represented by the equation x = 4 is 0.
Flashcards
Equation of a Line
Equation of a Line
Mathematical representation of a straight line on a graph.
Slope Formula
Slope Formula
Calculates the slope of a line using rise over run (m = (y2-y1)/(x2-x1)).
Graphing Simple Lines
Graphing Simple Lines
Plotting lines like y = x and y = -x on a graph.
Standard Form to Slope-Intercept
Standard Form to Slope-Intercept
Rewrite a linear equation from Ax + By = C to y = mx + b.
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Solving Systems by Graphing
Solving Systems by Graphing
Finding intersection points of lines on a graph to solve equations.
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Types of Slopes
Types of Slopes
Includes positive, negative, zero, and undefined slopes.
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Parallel Lines
Parallel Lines
Lines that have the same slope and never intersect.
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Perpendicular Lines
Perpendicular Lines
Lines that intersect at right angles; slopes are negative reciprocals.
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Solutions to Linear Systems
Solutions to Linear Systems
Can have one solution, no solution, or infinite solutions based on slopes.
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Upcoming Test Topics
- Students will have a test on Monday
- The test will consist of three sections
- Section 1: Multiple Choice (expect 1 SAT style question, no more than 10 questions)
- Section 2: Matching equations/systems to their graphs (6 questions)
- Section 3: Structured questions (3 questions)
- Question 1: Equation of a line
- Question 2: Graphing simple lines (x=constant, y=constant); ensure axes are scaled correctly
- Question 3: Graphing lines to solve systems
Skills to Know
- Give the equation of a line in point-slope and slope-intercept form
- Rewrite a linear equation from one form to another (e.g., standard to slope-intercept)
- Calculate the slope of a line using the slope formula and "rise over run"
- Give the equation of a line given a graph (linear and non-linear)
- Solve systems of equations (linear and non-linear) by graphing
- Create a system of equations to solve a non-linear system given a graph
- Graph a line given its equation in point-slope, slope-intercept, or standard form
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