The equation of line g is y= 8/9 x+2. Line h is parallel to line g and passes through (9,4). What is the equation of line h?

Answer 1

y=8x/9 +b

4= 8(9)/9+b

b=4-8=-4

the parallel line h is

y=8x/9 -4

h is g shifted vertically down 6 units

2-6=-4

Answer 2

The given line has slope 8/9 and parallel lines have the same slope.

So, the line going through (9,4) and which is parallel to the given line has equation:

y - 4 = (8/9)(x - 9) So, y = (8/9)x - 4