7.3 Flashcard: Intercepts & Slope in Context

Front

What is the equation that represents Nancy's typing speed if she types 50 words per minute?

Back

w = 50m

Front

What does the y-intercept represent in a graph showing a loan repayment?

Back

Total amount owed

Front

In a graph showing the weight of a bucket filled with sand, what does the y-intercept represent?

Back

The weight of the bucket when empty

Front

What does the slope of a graph indicate?

Back

The rate of change over time

Front

What does the y-intercept represent in the graph of a burning candle's height?

Back

The original height of the candle

Front

Define 'slope' in the context of a graph.

Back

The measure of how steep a line is, indicating the rate of change.

Front

What is the significance of the x-intercept in a graph?

Back

The point where the graph crosses the x-axis, indicating when the output is zero.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a graph?

Back

As one variable increases, the other variable also increases.

Front

What does a negative slope indicate about a graph?

Back

As one variable increases, the other variable decreases.