Answer:
[tex]\sf \bf y - intercept = \dfrac{56}{5}[/tex]
Step-by-step explanation:
Y-intercept:
(8,0) ; x₁ = 8 & y₁ = 0
(3,7) ; x₂= 3 & y₂ = 7
[tex]\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}[/tex]
slope y-intercept form of the line: y = mx + b
Substitute the slope and x and y in the above equation. We can choose anyone of the given points.
[tex]0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}[/tex]
