Linear Equations

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+5
Standards-aligned
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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 represents a straight line when graphed on a coordinate plane. It can be expressed 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 the slope of a line represent?
Back
The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is and the direction it is going.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0, indicating that there is no vertical change as the x-coordinate changes.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined because the change in x is 0, leading to division by zero in the slope formula.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel?
Back
Two lines are parallel if they have the same slope and will never intersect.
Tags
CCSS.8.EE.B.6
7.
FLASHCARD QUESTION
Front
What does it mean if two lines are perpendicular?
Back
Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.
Tags
CCSS.8.EE.B.6
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