Linear Equations from Tables

Flashcard
•
Mathematics
•
9th Grade
•
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 (m) represent in a linear equation?
Back
The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept (b) in a linear equation?
Back
The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How can you determine if a set of points forms a linear relationship?
Back
A set of points forms a linear relationship if they can be connected by a straight line on a graph.
Tags
CCSS.HSF-LE.A.1B
5.
FLASHCARD QUESTION
Front
What is a table of values in relation to linear equations?
Back
A table of values lists pairs of x and y coordinates that satisfy a linear equation, showing how y changes as x changes.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How do you find the slope from a table of values?
Back
To find the slope from a table of values, use the formula m = (y2 - y1) / (x2 - x1) using two points (x1, y1) and (x2, y2) from the table.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the significance of a positive slope?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.
Tags
CCSS.8.EE.B.5
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