Slope from a Graph

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, meaning there is no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is zero, leading to division by zero.

Front

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

Back

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

Front

What type of slope does the line y = 2x + 3 have?

Back

The line y = 2x + 3 has a positive slope of 2.

Front

What type of slope does the line y = -3x + 1 have?

Back

The line y = -3x + 1 has a negative slope of -3.

Front

What type of slope does the line y = 0 have?

Back

The line y = 0 is a horizontal line and has a slope of zero.

Front

What type of slope does the line x = 4 have?

Back

The line x = 4 is a vertical line and has an undefined slope.