Linear Equations and Systems
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.
4.
FLASHCARD QUESTION
Front
How do you solve a system of linear equations?
Back
You can solve a system of linear equations using methods such as substitution, elimination, or graphing to find the point where the lines intersect.
5.
FLASHCARD QUESTION
Front
What is the solution to a system of linear equations?
Back
The solution to a system of linear equations is the point (x, y) that satisfies all equations in the system.
6.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel?
Back
Two lines are parallel if they have the same slope and will never intersect.
7.
FLASHCARD QUESTION
Front
What does it mean for two lines to be perpendicular?
Back
Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.
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