Question

write an equation of the line containing a given point and parallel to the given line. Express you answer in the given form y=mx+b
(-9,4);8x=9y+2

Answer 1

given equation is 8x=9y+2
=> 9y = 8x - 2
so, gradient = 8/9
as the second line is parallel so gradient = 8/9
now,
y= 8/9 x +c------1
4 = 8/9 (-9) + c
4 = -8 + c
c = 12
plugging value to 1
y = 8/9 x + 12