Question

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

Answer 1

`\sf \bf y - intercept = (56)/(5)`

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 =(y_2-y_1)/(x_2-x_1)}`

`\sf = (7 - 0)/(3 - 8)\\\\ =(7)/(-5)\\\\=(-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 = (-7)/(5)*8 + b\\\\0=(-56)/(5)+b\\\\(56)/(5)=b\\\\ \boxed{\bf b = (56)/(5)}`