Graphing Linear Equations
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
+3
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 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 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).
Tags
CCSS.8.EE.B.5
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 represented by the value of b in the equation y = mx + b.
4.
FLASHCARD QUESTION
Front
How do you identify the slope from the equation y = -¼x + 3?
Back
The slope is -¼, indicating that for every 4 units you move to the right on the x-axis, the line moves down 1 unit.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as x increases, y decreases, meaning the line goes downwards from left to right.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
How can you determine the graph of y = -x + 3?
Back
To graph y = -x + 3, start at the y-intercept (0, 3) and use the slope of -1 to find another point (1, 2). Connect these points to form the line.
7.
FLASHCARD QUESTION
Front
What is the significance of the equation y = -2x + 4?
Back
In this equation, the slope is -2, meaning the line is steep and decreases quickly. The y-intercept is 4, where the line crosses the y-axis.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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