Mathematics

Question

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

2 Answer

  • Answer:

    [tex]\large\boxed{slope=\dfrac{7}{2}=3.5}[/tex]

    Step-by-step explanation:

    The formula of a slope:

    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

    Substitute:

    [tex]m=\dfrac{8-1}{5-3}=\dfrac{7}{2}[/tex]

  • Answer:

    [tex]\boxed{\bold{Slope \ \frac{7}{2} \ = \ 3.5 }}[/tex]

    Explanation:

    Slope Intercept Form: y = mx + b

    Slope Formula: [tex]\bold{\frac{y_2-y_1}{x_2-x_1}}[/tex]

    [tex]\bold{\left(x_1,\:y_1\right)=\left(3,\:1\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)}[/tex]

    [tex]\bold{m=\frac{8-1}{5-3}}[/tex]

    [tex]\bold{m=\frac{7}{2}}[/tex]

    [tex]\bold{Slope \ in \ fraction \ form: \frac{7}{2} }[/tex]

    [tex]\bold{Slope \ in \ decimal \ form: \ 3.5}[/tex]