Question

Which best describes the graphs of the line that passes through (0,2) and (6,4) and the line that passes through (2,1) and (5,7)?

Answer 1

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

`m = (y_2-y_1)/(x_2-x_1) = (4-2)/(6-0) = (2)/(6) = (1)/(3)`

`m = (y_2-y_1)/(x_2-x_1) = (7-1)/(5-2) = (6)/(3) = 2`

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.