Interpret Slope and Y-Intercept

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change, or how much one variable changes in relation to another.

Front

What is the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of y when x is zero.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation, 'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation, 'b' represents the y-intercept of the line.

Front

If a graph shows distance vs. time, what does a steep slope indicate?

Back

A steep slope indicates a high speed or rate of travel.

Front

If a graph shows money saved over time, what does a positive slope indicate?

Back

A positive slope indicates that money is being saved over time.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you find the y-intercept from a graph?

Back

You can find the y-intercept by looking at the point where the line crosses the y-axis.

Front

What does it mean if the slope of a line is zero?

Back

If the slope is zero, it means there is no change in y as x changes; the line is horizontal.

Front

What does it mean if the y-intercept is a positive number?

Back

A positive y-intercept means that the initial value of y is above zero when x is zero.