Question

What is the y-intercept of the line that is parallel to 2x + 3y = 4 and contains the point (6, -2)?

Answer 1

I have a line

2x+3y=4

2x+3y-4=0

slope =-b/c

=-3/-4

=3/4

Given point (6,-2)

from slope point formula (y-y1) =m(x-x1)

y+2=3/4(x-6)

4(y+2)=3(x-6)

4y+8=3x-18

4y=3x-26

y=3x-26/4

y=3/4x-13/2

by slope of intercept formula

y - intercept =-13/2