Linear Graphs

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear equation, showing a straight line on a coordinate plane.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate.

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

Back

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

Front

What does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning the x-value does not change as the y-value changes.

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 is the slope of the line represented by the points (3, 18) and (0, 18)?

Back

The slope is 0, as the y-values are the same, indicating a horizontal line.

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.