Slope Intercept Form

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

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

What does the slope of a line represent?

Back

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

Front

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

Back

A slope of 0 means the line is horizontal and there is no change in y as x changes.

Front

If a line has an undefined slope, what does that mean?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

What does a positive slope indicate about a line?

Back

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