# What is the slope of a line containing 0-6 and 40?

Let (x1, y1) = (0, 6) and (x2, y2) = (4, 0), then

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

m = (0 - 6)/(4 - 0) = -6/4 = -3/2

Thus, the slope of a line that passes though points (0, 6) and (4, 0) is -3/2.

### How would the slope of a savings graph change if you saved 40 per month instead of 20?

The slope or gradient of a line that represented the change in savings over time would increase (in this case it would double). This is because in the example in your question, you would be saving twice as much money per unit time. As such the gradient of the line would change from 20 (20 / 1) to 40 (40 / 1).

### What is the length measured along the slope and how did you do it if a right triangle has a vertical height of 3.2' a 40' horizontal distance and an 8 percent slope?

Slope is rise divided by run and percent is rise divided by run then multiply by 100 to change to % slope. As a check to your data, (3.2/40)*100 does equal 8%, so it is confirmed correct. You simply have a right triangle with height of 3.2, length of 40, and the length of the hypotenuse needs to be found to answer the question. The solution is sqrt(3.22+402) which is 40.1278 ft.

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