
Chapter 2: Graphing and writing Linear Equations
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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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 equation of a line. It is calculated as the change in y divided by the change in x (rise/run).
2.
FLASHCARD QUESTION
Front
How do you find the slope between two points?
Back
To find the slope (m) between two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).
3.
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.
4.
FLASHCARD QUESTION
Front
Write the equation of a line in slope-intercept form.
Back
The slope-intercept form of a line is given by: y = mx + b, where m is the slope and b is the y-intercept.
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's slope is the negative reciprocal of the other's.
6.
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.
7.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept of a line is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form y = mx + b.
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