Old Ch. 3 - Slope/Slope-intercept Form

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the change in the vertical direction (rise) to the change in the horizontal direction (run).

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is the value of y when x = 0. In this case, the y-intercept is 4.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal and there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value remains constant while the y-value changes.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Back

The rise is -3, indicating a decrease in the y-value.

Front

Back

The run is 4, indicating an increase in the x-value.