Question

Find the equation of the line L.

Answer 1

y = (
`-(1)/(2)`)x + 4

Explanation:

(x1,y1) = (0,4) ; (x2,y2) = (8,0)

The equation will look like y=mx+b

Slope m =
`(rise)/(run)` =
`(y2-y1)/(x2-x1)` =
`(0-4)/(8-0)` =
`(-4)/(8)` =
`-(1)/(2)`

Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.

y=mx+b

0 = (
`-(1)/(2)`)8 + b

0 = -4 +b

0+4 = -4 +4 +b

b=4

Then substitute b and m to the equation y=mx+b

y = mx + b

y = (
`-(1)/(2)`)x + 4