Use an equation to find the value of kk so that the line that passes through the given points has the given slope. (4,−4), (k,−1); m=3/4

Hey there!
The formula for slope is:
(second y value - first y value) divided by (second x value - first value).
So we can solve in the reverse and plug in what we know to find the missing point, k.

(-1 - -4 = 3) / (k - 4) =3/4

Since the top value comes out as 3, that means we have to find out what value k has to be so that the bottom part of the fraction will equal 4, this number would be 8. (8,-1)

Your value of k is 8.

Hope this helps. :)