Question

State the slope of the line in simplest form.
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Answer 1

slope = -
`(4)/(5)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line

m =
`(-4-0)/(0-(-5))` =
`(-4)/(0+5)` = -
`(4)/(5)`