Question

What is the slope of the line that passes through the points (-6,-6) and (-9,-5)? Write in simplest form

Answer 1

Answer: Therefore, the slope of the line that passes through the points (-6,-6) and (-9,-5) is -1/3.

Explanation:

The slope of the line can be found using the formula:

slope = (change in y) / (change in x)

So, we have:

slope = (-5 - (-6)) / (-9 - (-6))

slope = (1) / (-3)

slope = -1/3

Therefore, the slope of the line that passes through the points (-6,-6) and (-9,-5) is -1/3.

Answer 2

slope = -
`(1)/(3)`

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (- 6, - 6 ) and (x₂, y₂ ) = (- 9, - 5 )

substitute these values into the formula for m

m =
`(-5-(-6))/(-9-(-6))` =
`(-5+6)/(-9+6)` =
`(1)/(-3)` = -
`(1)/(3)`