Rate of Change and Slope

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 determine the slope from a linear equation?

Back

The slope can be determined from the equation in slope-intercept form (y = mx + b) as the coefficient of x, which is m.

Front

What does the slope represent in a graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the formula to 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 is the rate of change in a linear function?

Back

The rate of change in a linear function is the same as the slope, representing how much y changes for a unit change in x.

Front

How can you find the rate of change from a graph?

Back

To find the rate of change from a graph, select two points on the line, determine their coordinates, and use the slope formula.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.