Writing Equations from Graphs
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•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
3.
FLASHCARD QUESTION
Front
How do you write the equation of a line given two points?
Back
To write the equation of a line given two points (x1, y1) and (x2, y2), first calculate the slope (m = (y2 - y1) / (x2 - x1)). Then use the point-slope form: y - y1 = m(x - x1).
4.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
5.
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.
6.
FLASHCARD QUESTION
Front
How can you determine if a line is increasing or decreasing?
Back
A line is increasing if the slope (m) is positive, and it is decreasing if the slope (m) is negative.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel?
Back
Two lines are parallel if they have the same slope but different y-intercepts. They will never intersect.
Tags
CCSS.8.EE.B.5
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