Slope and Equations of Lines
Flashcard
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Mathematics
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7th - 10th Grade
•
Hard
Standards-aligned
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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, typically represented as 'm' in the slope-intercept form of a linear equation. It is calculated as the change in y divided by the change in x (rise over run).
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the equation of a vertical line?
Back
The equation of a vertical line is of the form x = a, where 'a' is the x-coordinate of any point on the line.
4.
FLASHCARD QUESTION
Front
What is the equation of a horizontal line?
Back
The equation of a horizontal line is of the form y = b, where 'b' is the y-coordinate of any point on the line.
5.
FLASHCARD QUESTION
Front
What does it mean for two lines to be perpendicular?
Back
Two lines are perpendicular if the product of their slopes is -1. This means that one line has a slope that is the negative reciprocal of the other.
Tags
CCSS.8.EE.B.6
6.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
7.
FLASHCARD QUESTION
Front
How do you convert from point-slope form to slope-intercept form?
Back
To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
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