Slopes

Front

What is the formula to calculate the slope of a line?

Back

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

Front

What does the term 'rise' refer to in the context of slope?

Back

Rise refers to the vertical change between two points on a line.

Front

What does the term 'run' refer to in the context of slope?

Back

Run refers to the horizontal change between two points on a line.

Front

If a line rises as it moves from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

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

Back

The slope is negative.

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

Find the slope of the line that passes through (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line that passes through (4, 5) and (4, 9).

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line that passes through (0, 0) and (5, 5)?

Back

Slope = (5 - 0) / (5 - 0) = 1.