Slope

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm', calculated as the change in y (rise) over the change in x (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 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 a line rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Front

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

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

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

Back

Slope = (5 - 2) / (1 - 1) = Undefined.

Front

What does a slope of -1/5 indicate about the line?

Back

The line falls gently from left to right.

Front

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

Back

The slope is 3.