Determining Points on Linear Equations
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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14 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 for a point to lie on a line represented by a linear equation?
Back
A point (x, y) lies on a line if, when the x-coordinate is substituted into the linear equation, the resulting y-value matches the y-coordinate of the point.
Tags
CCSS.HSF.IF.A.1
3.
FLASHCARD QUESTION
Front
How do you determine if the point (2, 3) lies on the line y = 2x + 1?
Back
Substitute x = 2 into the equation: y = 2(2) + 1 = 5. Since 5 does not equal 3, the point (2, 3) does not lie on the line.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What is the slope of the line y = -x + 2?
Back
The slope is -1, as it is the coefficient of x in the equation.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
How do you check if the point (1, 0) lies on the line y = -x + 2?
Back
Substitute x = 1 into the equation: y = -1 + 2 = 1. Since 1 does not equal 0, the point (1, 0) does not lie on the line.
7.
FLASHCARD QUESTION
Front
What is the y-intercept of the line y = 2x - 9?
Back
The y-intercept is -9, as it is the constant term in the equation.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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