slope intercept from two points
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Slope-Intercept Form of a linear equation?
Back
The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope (m) from two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in the slope-intercept form?
Back
The y-intercept (b) represents the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
Given the points (–1, 0) and (4, –5), what is the slope of the line?
Back
The slope is m = (–5 - 0) / (4 - (–1)) = -5/5 = -1.
5.
FLASHCARD QUESTION
Front
What is the equation of the line in slope-intercept form that passes through (–1, 0) and (4, –5)?
Back
The equation is y = –x – 1.
6.
FLASHCARD QUESTION
Front
How do you find the y-intercept from the slope-intercept form equation?
Back
The y-intercept can be found directly from the equation as the value of b.
7.
FLASHCARD QUESTION
Front
What is the y-intercept of the line represented by the equation y = -2x - 2?
Back
The y-intercept is (0, -2).
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