Question

Question #d208e

Answer 1

`(-3, 11/4)`

Explanation:

The equation of L1,
`((y - (-1)))/((x - (-8))) = (((-1) - 2))/(((-8) - (-4)))`

`(y + 1)/(x +8) = (-3)/(-4)`

`(y + 1) = (3/4)(x + 8)`

`4(y + 1) = 3(x + 8)`

`4 y + 4 = 3 x +24`

`4 y = 3 x +20`

L1,===> `4 y = 3 x +20`

L2,===> `4 y = 8 - x`

L1 - L2,
`0 =4 x +12`
`4 x = -12`, `x =-3`

Replace `x = -3` into L1 or L2

`4 y = 8 - (-3)`
`4 y = 11`, `y = 11/4`

Therefore the intersection of L1 & L2 is `(-3, 11/4)`