Slope and y-intercept

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 between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, identify the value of b.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that the y-value does not change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, indicating that the x-value does not change as the y-value changes.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.