Question

What the y-intercept of (8,0) and (3,7)

Answer 1

Answer:

$\sf \bf y - intercept = \dfrac{56}{5}$

Step-by-step explanation:

Y-intercept:

   (8,0)  ; x₁ = 8 & y₁ = 0

   (3,7)   ; x₂= 3  & y₂ = 7

• First find the slope of the line.

      $\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}$

                  $\sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}$

 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.

     $0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}$