Vertical and Horizontal Slopes

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, defined as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the formula to calculate slope from a graph?

Back

Slope = rise / run, where 'rise' is the vertical change and 'run' is the horizontal change.

Front

What is the slope of a vertical line?

Back

Undefined, because the run (horizontal change) is zero.

Front

What is the slope of a horizontal line?

Back

Zero, because the rise (vertical change) is zero.

Front

What does the equation x = -4 represent on a graph?

Back

A vertical line that crosses the x-axis at -4.

Front

What does the equation y = 3 represent on a graph?

Back

A horizontal line that crosses the y-axis at 3.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through (2, -1) and (2, -5)?

Back

Undefined, because the x-coordinates are the same, resulting in a vertical line.

Front

What is the slope of the line that passes through (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What type of slope does a line with a positive slope have?

Back

A positive slope rises from left to right.