Question

What is the slope of the line that goes through (2,-3) and (-4,5)

Answer 1

Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in: $\frac{5-(-3)}{-4-2} = \frac{8}{-6} = -\frac{4}{3} or -1.333333$
Slope: $- \frac{4}{3}$

Here's how to plug it into point slope if you'd like to know for future reference. :)
Formula for point-slope: $y - y1 = m(x-x1)$ where m = slope
Plug in: $y - (-3) = - \frac{4}{3}(x - 2)$
Solve: $y + 3 = - \frac{4}{3}x - \frac{13}{5}$
Add three both sides to get: $y = - \frac{4}{3}x + \frac{2}{5}$
And once you have solved, the above equation is now in slope-intercept form. 
For further reference, slope intercept form is: $y = m(x) + b$