Finding Slope from Graph

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no rise as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not have a defined rise over run.

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

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, which indicates the line rises 3 units for every 1 unit it moves to the right.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2, indicating the line falls 2 units for every 1 unit it moves to the right.

Front

What does a slope of 1/2 mean?

Back

A slope of 1/2 means that for every 2 units moved horizontally to the right, the line rises 1 unit.