7.10ab Find Slope and Graph Equations from Tables

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

If the slope (m) is positive, what does that indicate about the line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

If the slope (m) is negative, what does that indicate about the line?

Back

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

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope is 5.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope is -3.

Front

How do you find the slope from a table of values?

Back

Calculate the change in y (rise) divided by the change in x (run) between two points.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning y does not change as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.

Front

Given the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the equation of a line with a slope of 4 that passes through the origin?

Back

The equation is y = 4x.