Find a,b if the line ax + by + 3 = 0 passes through (0,1) and is parallel to 2x-3y+5=0

Question

triciaal · Answer

Parallel lines have the same slope.
in the form y = m x + b  the slope is m 
any 2 points on a given line will have the same slope

mrnood · Answer

2x-3y+5=0

can you arrange this into the form

y = mx+b

if so it will tell you the slope of the line that you need to find (as @triciaal has explained above)

mrnood · Answer

hint - first add 3y to each side of the equation..

sshayer · Answer

eq. of any line parallel to 
px+qy+r=0
is px+qy+d=0
where d is a constant.

welshfella · Answer

using sshayer's equations-

2x - 3y + 5 = 0
so the equation parallel to it will be
2x - 3y  + d = 0      where d is a constant to be found

welshfella · Answer

Now if we plug in  the given point  (0,1)    [ x = 0 and y = 1] into the second equation we can find the value of d.

sugarmochi · Answer

sorry for the late answer! I wasnt able to check my question untill now...

Uhm, would d= -3?

sugarmochi · Answer

@welshfella 
(is this how i tag? ohmygod im sorry)

sshayer · Answer

d=3

sugarmochi · Answer

ohh- my bad