Creating Linear Equations from a Graph/Table

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+2
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 y-value with respect to the x-value. It indicates how steep the line is and the direction it goes (positive slope goes up, negative slope goes down).
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 do you find the slope from 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
5.
FLASHCARD QUESTION
Front
Write the equation of a line with a slope of 2 and a y-intercept of 3.
Back
y = 2x + 3
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
7.
FLASHCARD QUESTION
Front
Convert the equation y = 3x + 4 to standard form.
Back
3x - y = -4 or 3x - y + 4 = 0.
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