Question

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her error and correct her mistakes.

Answer 1

see explanation

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m =
`(-3-4)/(2-(-5))`

Her error was subtracting 5 from 2 instead of - 5 from 2

m =
`(-7)/(2+5)` =
`(-7)/(7)` = - 1 ← corrected solution