Question

Find the slope of the line that goes through the given points. 1) (3, -5), (7,-6)
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Answer 1

slope = -
`(1)/(4)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (7, - 6)

m =
`(-6-(-5))/(7-3)` =
`(-6+5)/(4)` = -
`(1)/(4)`