Question

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

Answer 1

Answer:

$\large\boxed{slope=\dfrac{7}{2}=3.5}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Substitute:

$m=\dfrac{8-1}{5-3}=\dfrac{7}{2}$

Answer 2

Answer:

$\boxed{\bold{Slope \ \frac{7}{2} \ = \ 3.5 }}$

Explanation:

Slope Intercept Form: y = mx + b

Slope Formula: $\bold{\frac{y_2-y_1}{x_2-x_1}}$

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

$\bold{m=\frac{8-1}{5-3}}$

$\bold{m=\frac{7}{2}}$

$\bold{Slope \ in \ fraction \ form: \frac{7}{2} }$

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