Slope-Intercept Equations

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing; as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal; there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical; x does not change as y changes.

Front

How do you find the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is the value of y when x = 0; in this case, it is 5.

Front

If a line has a slope of -5/3, is it increasing or decreasing?

Back

The line is decreasing because the slope is negative.

Front

What is the y-intercept in the equation y = 3x - 4?

Back

The y-intercept is -4.

Front

How do you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.