Finding Slope

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

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 about a line?

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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 3, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value increases by 3 units.

Front

Find the slope of the line passing through the points (2, 3) and (5, 9).

Back

Slope = (9 - 3) / (5 - 2) = 6 / 3 = 2.

Front

Find the slope of the line passing through the points (1, -2) and (7, -3).

Back

Slope = (-3 - (-2)) / (7 - 1) = (-1) / 6 = -1/6.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.