What is the slope of a line?
Slope Intercept Word Problems

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, calculated as the ratio of the rise (change in y) to the run (change in x).
2.
FLASHCARD QUESTION
Front
How do you calculate the slope 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 a positive slope indicate about a line?
Back
A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.
5.
FLASHCARD QUESTION
Front
What is the slope of the line that passes through the points (1, 2) and (3, 6)?
Back
The slope is 2, calculated as (6 - 2) / (3 - 1).
6.
FLASHCARD QUESTION
Front
What is the slope of the line that passes through the points (0, 0) and (4, 8)?
Back
The slope is 2, calculated as (8 - 0) / (4 - 0).
7.
FLASHCARD QUESTION
Front
Write the slope-intercept form of a line with a slope of 3 and a y-intercept of 2.
Back
The equation is y = 3x + 2.
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