Question

Find the slope, if it exists, of the line containing the pair of points. (−18.4,17.2) and (−18.2,5.9) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (Simplify your answer. Type an integer or a fraction.) B. The slope is undefined.

Answer 1

slope = -
`(113)/(2)`

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 18.4, 17.2 ) and (x₂, y₂ ) = (- 18.2, 5.9 )

m =
`(5.9-17.2)/(-18.2-(-18.4))` =
`(-11.3)/(-18.2+18.4)` = -
`(11.3)/(0.2)` ( multiply numerator/ denominator by 10 )

m = -
`(113)/(2)`