Slope from a graph and two points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the x-values are the same for all points on the line.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, where the y-values are the same for all points on the line.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Calculate the slope of the line that passes through the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-values are the same (1).

Front

Calculate the slope of the line that passes through the points (0, 0) and (3, 3).

Back

The slope is m = (3 - 0) / (3 - 0) = 3 / 3 = 1.

Front

If a line has a slope of -1, what does this tell you about the line's direction?

Back

A slope of -1 indicates that the line falls at a 45-degree angle from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.