Question

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)

Answer 1

m = -1/26

m = 11/2

m = undefined

Explanation:

Slope formula:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$

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

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

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

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

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

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

You can use this solution to solve the remaining one