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Slope, Rate of Change, and Direct Variation

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Slope, Rate of Change, and Direct Variation

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Questions and Answers

What is slope?

The change in distance over time

A measure of how steep a line is

The constant of variation between two variables

The ratio of change in y to change in x (correct)

How is rate of change defined?

The constant of variation between two variables

A measure of how steep a line is

The change in cost over quantity

The ratio of change in y to change in x (correct)

What is direct variation?

A measure of how steep a line is

A specific type of relationship between two variables where one variable increases proportionally with the other (correct)

The ratio of change in y to change in x

The constant of variation between two variables

Which letter represents slope in the equation?

<p>m</p> Signup and view all the answers

In the equation for direct variation y=kx, what does 'k' represent?

<p>The constant of variation</p> Signup and view all the answers

Study Notes

Slope and Rate of Change

Slope is a measure of how steep a line is.
Rate of change is defined as the change in output (y) over the change in input (x).

Direct Variation

Direct variation is a relationship between two variables in which one variable is proportional to the other.
In the equation for direct variation, y = kx, where 'k' represents the constant of proportionality or the slope of the line.

Equation Notation

In the equation y = mx + b, 'm' typically represents the slope of the line.
In the equation y = kx, 'k' represents the slope or the constant of proportionality.

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Description

Learn about slope as a measure of the steepness of a line and the rate at which it is rising or falling. Understand how to calculate slope using the formula. Explore the concept of direct variation and its relationship with slope and rate of change.