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3.1 Rate of Change

3.1 Rate of Change

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of 'slope' in mathematics?

Back

The slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

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 positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value 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 the x-value increases, the y-value decreases, meaning the line falls from left to right.

5.

FLASHCARD QUESTION

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a function divided by the change in the input value over a specified interval.

6.

FLASHCARD QUESTION

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

7.

FLASHCARD QUESTION

Front

What is the formula for finding the average rate of change between two points?

Back

Average Rate of Change = (f(b) - f(a)) / (b - a) where a and b are the input values.

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