Writing Equations: Given Two Points on a Line
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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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'. 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
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 y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.
4.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form is given by 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 slope-intercept form of a linear equation?
Back
The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
How do you write the equation of a line given two points?
Back
1. Calculate the slope using the two points. 2. Use one of the points and the slope to write the equation in point-slope form, then convert to slope-intercept form if needed.
7.
FLASHCARD QUESTION
Front
What is the equation of the line that goes through the points (2, 9) and (3, 1)?
Back
y = -8x + 25.
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