M8 Interpret Slope and Y-intercept

Front

What is the meaning of the slope?

Back

The slope represents the rate of change; for example, it indicates how much the total cost increases for each additional unit (e.g., ride) taken.

Front

What does a slope of 1.75 mean in a cost context?

Back

It means that for every additional ride taken, the total cost increases by $1.75.

Front

What is the meaning of the y-intercept?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero; it represents the starting point of a linear relationship.

Front

What does a y-intercept of $5 indicate in a cost scenario?

Back

It indicates that the initial cost (e.g., entry fee) is $5 before any additional costs are incurred.

Front

How do you interpret a slope of 25 words per minute?

Back

It means that for every minute, Taylor writes 25 words.

Front

What does a slope of $2.95 represent in a billing context?

Back

It indicates that the bill increases by $2.95 for each additional unit (e.g., grandchild) included.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) or m = (y2 - y1) / (x2 - x1).

Front

If the slope is negative, what does that indicate?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

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

Back

The y-intercept shows where the line crosses the y-axis, indicating the value of y when x is zero.

Front

How can you find the y-intercept from a linear equation?

Back

In the equation y = mx + b, the y-intercept is the value of b.