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23 votes
Find the slope of the line through each pair of points.- (19,-16), (-7,-15)- (-4,7), (-6,-4)- (17,-13), (17,8)- (19,3), (20,3)

User Dan Steele
by
3.2k points

1 Answer

22 votes
22 votes

m = -1/26

m = 11/2

m = undefined

Step-by-step explanation:

Slope formula:


m\text{ = }(y_2-y_1)/(x_2-x_1)

a) (19,-16), (-7,-15) = (x1, y1, (x2, y2)


\begin{gathered} m\text{ = }\frac{-15-(-16)_{}}{-7-19}\text{ = }(-15+16)/(-26) \\ m\text{ =}(1)/(-26)\text{ = -1/26} \end{gathered}

b) (-4,7), (-6,-4) = (x1, y1, (x2, y2)


\begin{gathered} m\text{ = }\frac{-4-7_{}}{-6-(-4)}\text{ = }(-4-7)/(-6+4) \\ m\text{ =}(-11)/(-2)\text{ = }(11)/(2) \end{gathered}

c) (17,-13), (17,8) = (x1, y1, (x2, y2)


\begin{gathered} m\text{ = }\frac{8-(-13)_{}}{17-17}\text{ = }(8+13)/(0) \\ m\text{ =}(21)/(0)\text{ (we can't divide by zero)} \\ m\text{ = undefined} \end{gathered}

You can use this solution to solve the remaining one

User TareK Khoury
by
2.5k points