Slope From Two Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

The line is vertical.

Front

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

Back

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

Front

If a line has a slope of 5/2, what does this mean in terms of rise over run?

Back

For every 2 units you move horizontally (run), the line rises 5 units.

Front

What is the slope of a line that passes through the points (1, 2) and (1, 5)?

Back

undefined (the line is vertical).

Front

Find the slope of the line that passes through the points (3, 4) and (3, 1).

Back

undefined (the line is vertical).

Front

What is the slope of the line that passes through the points (0, 0) and (4, 4)?

Back

m = (4 - 0) / (4 - 0) = 1.

Front

If the slope of a line is negative, what does this indicate about the direction of the line?

Back

The line descends from left to right.

Front

Calculate the slope of the line that passes through the points (-1, -1) and (2, 2).

Back

m = (2 - (-1)) / (2 - (-1)) = 3/3 = 1.