Question

what is the equation of the line in standard form that passes throught hte point (3 4) and is parallel to the line y=-x+6

a) x+y=1
b) x+y=7
c) x-y=-1
d) x-y=-7

Answer 1

please help !!!

Answer 2

b

Answer 3

The parallel line has the same slope as the given line so is of form y=-x+c.
You know that the parallel line passes through (3,4) so substituting in gives
3=-4+c so c= 7

So you have y = -x+7 which is the same as b).