Question

Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?

Answer 1

First, solve for slope.
Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in values: $\frac{8-5}{1-2} = -\frac{3}{1} = -3$
Slope: $-3$
Second, we must plug into point-slope form. 
Formula for point-slope: $y -y1 = m(x-x1)$
Plug in the values: $y - 5 = -3(x - 2)$

And there you have your answer in point-slope form.