Slope, Rate of Change, and Direct Variation

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Questions and Answers

What is slope?

The ratio of change in y to change in x

How is rate of change defined?

The ratio of change in y to change in x

What is direct variation?

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

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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