134a - 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 change in y divided by the change in x (rise over run).

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 identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where x does not change, resulting in a division by zero.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept is (0, 5).