Question

Find the distance between the lines with equations -9x-8y+4=0 and y=-9/8x+6

Answer 1

=1.338029

Explanation:

-9x-8y+4=0

8y = -9x + 4

Eq 1. y = -(9/8)x + 4 x = 1, y = 2.875 y = 4.875, x = -0.778

Eq 2. y= -(9/8)x + 6 x = 1, y = 4.875 y = 4.875, x = 1

distance btwn lines

is distance btwn these points:

(0.111, 3.875) (1, 4.875)

Distance Equation Solution:

=
`√((1−0.111)2+(4.875−3.875)2)`

=
`√((0.889)2+(1)2\\)`

=
`√(0.790321+1)`

=√1.790321

=1.338029