Rate of Change Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation for the line with a slope of 3 that passes through the origin.

Back

The equation is y = 3x.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the slope from the table of values: (1, 2), (2, -2), (3, -6).

Back

The slope is -4/1.

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

The slope is -1/5.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is constant and is represented by the slope.