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Answer:
1. [tex]\frac{2}{6}[/tex]
2. [tex]\frac{-3}{4}[/tex]
3. [tex]\frac{9}{-5}[/tex]
4. [tex]-\frac{3}{2}[/tex]
5. 2
Step-by-step explanation:
For 1 to 3 you must know the formula for slope, if the given has a 2 points which is [tex]x_{1} ,x_{2} , y_{1}, y_{2}[/tex]
The formula is [tex]m=\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
1. (4, 5) (10, 7)
---- Our 4 will be [tex]x_{1}\\[/tex] and 5 will be [tex]y_{1}[/tex] then 10 will be [tex]x_{2}[/tex] and 7 will be [tex]x_{1}[/tex]
Substitute;
[tex]m=\frac{7- 5 }{10-4 }[/tex] = [tex]\frac{2}{6}[/tex]
Slope=[tex]\frac{2}{6}[/tex]
2. (-6, 5) (-2, 2)
---- Our -6 will be [tex]x_{1}\\[/tex] and 5 will be [tex]y_{1}[/tex] then -2 will be [tex]x_{2}[/tex] and 2 will be [tex]x_{1}[/tex]
Substitute;
[tex]m=\frac{2- 5 }{-2-(-6) }[/tex] = [tex]\frac{-3}{4}\\[/tex]
Slope=[tex]\frac{-3}{4}\\[/tex]
3. (-3, -6) (-8, 3)
---- Our -3 will be [tex]x_{1}\\[/tex] and -6 will be [tex]y_{1}[/tex] then -8 will be [tex]x_{2}[/tex] and 3 will be [tex]x_{1}[/tex]
Substitute;
[tex]m=\frac{-3-(- 6) }{-8-(-3) }[/tex] = [tex]\frac{9}{-5}[/tex]
Slope=[tex]\frac{9}{-5}[/tex]
For 4 and 5 I attached the photo
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