Slope and Y-Intercept (Graphs, Equations & Verbal Descriptions)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by 'm' in the equation y = mx + b.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of 'b' where the line crosses the y-axis.

Front

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

Back

The y-intercept can be found by identifying the point where the line crosses the y-axis.

Front

What is the slope of the equation y = 3x + 5?

Back

The slope is 3.

Front

What is the y-intercept of the equation y = -2x + 4?

Back

The y-intercept is 4.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change.