Respuesta :
First, we have to find the slope using the following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where,
[tex]\begin{gathered} x_1=16 \\ x_2=24 \\ y_1=44 \\ y_2=64 \end{gathered}[/tex][tex]m=\frac{64-44}{24-16}=\frac{20}{8}=\frac{10}{4}=\frac{5}{2}[/tex]Then, we use the point-slope formula to find the equation
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-44=\frac{5}{2}(x-16) \\ y=\frac{5}{2}x-\frac{80}{2}+44 \\ y=\frac{5}{2}x-40+44 \\ y=\frac{5}{2}x+4 \end{gathered}[/tex]Hence, the y-intercept is 4 because that's the independent term.