Finding Slope from a Graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the slope of a line?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to a division by zero in the slope formula.

Front

If a line rises from left to right, what type of slope does it have?

Back

The line has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

The line has a negative slope.

Front

Find the slope of the line passing through points (2, 3) and (4, 7).

Back

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

Front

Find the slope of the line passing through points (1, 2) and (1, 5).

Back

The slope is undefined, as the x-values are the same.