Question

Find the slop of a line (-3,5)(5,9)

Answer 1

Slope = 0.5

Explanation:

Slope of a Line passing through two points
`(x_1 , y_1)` and
`(x_2 ,y_2)` equal
`(y_2-y_1)/(x_2-x_1)`

Since our Line passes through the two points ( -3 , 5 ) and ( 5 , 9 )

Then the Slope =
`(9-5)/(5-(-3))=(4)/(8) =0.5`

Answer 2

`\huge\text{Hey there!}`

`\mathsf{Slope\ formula\ is :\mathtt{(y_2 - y_1)/(x_2 - x_1) = slope}\rightarrow (rise)/(run) = slope}`

`\textsf{Your labels :}\\\\\mathtt{y_2 \rightarrow 9}\\\mathtt{y_1 \rightarrow 5}\\\\\mathtt{x_2\rightarrow 5}\\\mathtt{x_1\rightarrow-3}`

`\textsf{Your equation should look like : }\mathtt{slope = (9 - 5)/(5 - (-3))}`

`\textsf{Solving for your answer should be :}`

`\mathtt{slope = (9 - 5)/(5 - (-3))}`

`\mathtt{slope = (9 - 5)/(5 + 3)}\\\textsf{(We got a positive (+) symbol because double negatives }(-)\textsf{ make a positive!})`

`\mathtt{slope = (4)/(8)}}`

`\mathtt{slope = (4/2)/(8/2)}`

`\mathtt{slope = (2)/(4)}`

`\mathtt{slope = (2/2)/(4/2)}`

`\mathtt{slope = (1)/(2)}`

`\large\textsf{Thus your \boxed{\textsf{answer}} should most likely be :}\\\\\\\large\boxed{\mathtt{slope = (1)/(2)}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`