Question

(-5,1) (4,4) slope=​

Answer 1

1/3

Explanation:

Slope:

`\sf{(y_2-y_1)/(x_2-x_1)`

Y₂= 4

Y₁=1

X₂= 4

X₁= (-5)

Solve.

4-1/4-(-5)

4-1=3

4+5=9

=3/9

Divide.

3/3=1

9/3=3

=1/3

`\large\boxed{(1)/(3)}`

Therefore, the slope is 1/3.

Answer 2

`(1)/(3)`

Explanation:

Use the slope formula:

slope
`m = (y_2 - y_1)/(x_2 - x_1)`
`(1)/(3)`

Let:

`(x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\`

Plug in the corresponding numbers to the corresponding variables:

`m = (4 - 1)/(4 - (-5)) = (3)/(4 + 5) = (3)/(9)`

Simplify the fraction. Divide common factors from both the numerator and denominator:

`(((3)/(9) ))/((3)/(3) ) = (1)/(3)`

`(1)/(3)` is your answer.

~