Question

Find the slope that passes through (3,1) and (5,8)

Answer 1

`\boxed{\bold{Slope \ (7)/(2) \ = \ 3.5 }}`

Step-by-step explanation:

Slope Intercept Form: y = mx + b

Slope Formula:
`\bold{(y_2-y_1)/(x_2-x_1)}`

`\bold{\left(x_1,\:y_1\right)=\left(3,\:1\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)}`

`\bold{m=(8-1)/(5-3)}`

`\bold{m=(7)/(2)}`

`\bold{Slope \ in \ fraction \ form: (7)/(2) }`

`\bold{Slope \ in \ decimal \ form: \ 3.5}`

Answer 2

`\large\boxed{slope=(7)/(2)=3.5}`

Step-by-step explanation:

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have two points (3, 1) and (5, 8).

Substitute:

`m=(8-1)/(5-3)=(7)/(2)`