Question

Find an equation in slope-intercept form passing through the (2,5) and (7, -3).

Answer 1

since you have two points, you can get the slope:

(-3-5)/(7-2) = -8/5

Now, the slope never changes, so, you can pick any other point (x,y) on the line, and figure the slope through (2,5) and (x,y) the same way:

(y-5)/(x-2) = -8/5

Now just rearrange things the way you want.

y-5 = -8/5 (x-2)
y-5 = -8/5 x + 16/5
y = -8/5 x + 41/5

Answer 2

Juan says, "When you put together unequal groups, you can only add." Is he correct? Explain.