Question

Use an equation to find the value of k so that the line passing through (4,−4) and (k,−1) has a slope of 34 .

Answer 1

Alright, this is kind of like working backwards.

We have a slope of 34. And the slope formula is m = y1 - y2 / x1 - x2.

34 = (-4 - -1) / (4 - k)

34 = -3 / (4 - k)

34(4 - k) = -3

136 - 34k = -3

-34k = -139

I believe that k = 139/34, or 4.09 approximately. Hope this helps!