What is the slope of the line that passes through the points (2, 8) and (6, 12)? a. –5 b. –1 c. 1 d. 5

The slope is an expression of the change in y after a change in x.
Usually, this is expressed with a ratio, with the difference in y first.

The formula for slope is written as .
Our points are and .

Of course, the difference is just subtracting one from the other, but you'll get either a positive or negative value depending on which way you subtract. That's all fine and dandy if you handle the differences in x and y in the same way like in the formula, because any unwanted negatives get cancelled out...it's not important.

Anyways, let's plug our points (2, 8) and (6, 12) into the slope formula.



Any number divided by 1 stays the same, so we can leave out the /1 and just have our slope be 1.