Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in: [tex] \frac{5-(-3)}{-4-2} = \frac{8}{-6} = -\frac{4}{3} or -1.333333
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Slope: [tex]- \frac{4}{3} [/tex]
Here's how to plug it into point slope if you'd like to know for future reference. :)
Formula for point-slope: [tex]y - y1 = m(x-x1) [/tex] where m = slope
Plug in: [tex]y - (-3) = - \frac{4}{3}(x - 2) [/tex]
Solve: [tex]y + 3 = - \frac{4}{3}x - \frac{13}{5}
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Add three both sides to get: [tex]y = - \frac{4}{3}x + \frac{2}{5} [/tex]
And once you have solved, the above equation is now in slope-intercept form.
For further reference, slope intercept form is: [tex]y = m(x) + b[/tex]
