Module 2 Topic 1, Part 2
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
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.
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change between two points?
Back
The average rate of change between two points (x1, y1) and (x2, y2) is calculated using the formula: (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a real-world context?
Back
The slope of a line represents the rate of change of one variable with respect to another, often interpreted as speed or efficiency in real-world scenarios.
4.
FLASHCARD QUESTION
Front
What is the significance of the coordinates (0, 0) in a linear equation?
Back
The coordinates (0, 0) represent the origin in a Cartesian coordinate system, often used as a reference point for linear equations.
5.
FLASHCARD QUESTION
Front
What is the meaning of a constant speed in the context of a delivery truck's journey?
Back
A constant speed means that the delivery truck travels the same distance in equal intervals of time, resulting in a linear relationship between distance and time.
6.
FLASHCARD QUESTION
Front
How can you convert a point-slope equation 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 to isolate it on one side.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating slope (m) using two points?
Back
The formula for calculating slope (m) using two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).
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