Finding slope with a graph, 2 sets of points and equations

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a graph?
Back
Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).
2.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
Slope (m) = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does a slope of 0 indicate about a line?
Back
A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.
4.
FLASHCARD QUESTION
Front
What does an undefined slope indicate about a line?
Back
An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.
5.
FLASHCARD QUESTION
Front
If a line has a slope of -5/3, what does this tell you about its direction?
Back
A slope of -5/3 indicates that the line descends from left to right, meaning for every 3 units you move to the right, the line moves down 5 units.
6.
FLASHCARD QUESTION
Front
What is the slope of a line that rises 4 units for every 3 units it runs to the right?
Back
The slope is 4/3.
7.
FLASHCARD QUESTION
Front
If the coordinates of two points are (2, 3) and (5, 6), what is the slope of the line connecting them?
Back
Slope = (6 - 3) / (5 - 2) = 3/3 = 1.
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