Graphing Linear Systems

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Easy
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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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does it mean to graph a system of equations?
Back
Graphing a system of equations involves plotting the equations on the same coordinate plane to find their point of intersection, which represents the solution.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The solution to a system of equations is the point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations in the system.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel when graphing?
Back
If two lines are parallel, it means they have the same slope and will never intersect, indicating that the system has no solution.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide when graphing?
Back
If two lines coincide, they lie on top of each other and have infinitely many solutions, as every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How do you find the slope of a line from an equation?
Back
The slope of a line can be found from the equation in slope-intercept form (y = mx + b) where m represents the slope.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.
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