Find the slope of the line determined by the given points. (2 points each)
1. (4, -5) and (-2, -8)
[tex]m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\\\\m=\frac{-8-(-5) }{-2-(4)}\\\\m=\frac{-3}{-12}\\\\m=\frac{1}{4}[/tex]
2. (0, 0) and (-6, 9)
[tex]m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\\\\m=\frac{-6-0}{9-0}\\\\m=\frac{-6}{9}\\\\m=-\frac{2}{3}[/tex]
3. (-3, 9) and (4, 2)
[tex]m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\\\\m=\frac{9-2}{2-(-3)}\\\\m=\frac{7}{5}[/tex]
4. (13, -10) and (24, 36)
[tex]m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\\\\m=\frac{36-(-10)}{24-13}\\\\m=\frac{46}{11}[/tex]
Note: Use the equation [tex]m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] to find the slope when you have two points given.
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