Question

how do i solve. Find the equation of the line through the point (8,-5) that is parallel to 6x+9y=-6

Answer 1

6x+9y=-6

===> y = -2/3x-2/3 ===> slope =-2/3 ===> equation would y=-2/3 x +b ===> -5=-16/3+b==> b = 1/3 ===> y =-2/3 x +1/3

Answer 2

Parrelel line:
6x+9y=-6
Let's put this into point slope formula?
y=mx+b
6x+6 =-9y
6x/-9 + 6/9 = y
y = 2x/-3 + 2/3

Parallel lines have the same slope and there your other line will have a slope of 2x/-9 and have a different y intercept (b value)
Your line will pass through (8, -5)
-5 = 2x8/-9 + c
c = -29/9

The equation to your line will be:
y = -2x/3 + -29/9

Answer 3

let parallel line is 6x+9y=K .. since this line passing through (8,-5) so it will satisfy it..
hence ... 6(8)+9(-5)=k
=>48-45=k
k=3


hence required parallel line is --> 6x+9y=3

Answer 4

Oops - I made a insignificant mistake in here - forgot to carry a negative. It makes no difference to the answer though. Not sure if you can find it.

Answer 5

chaise you wrong

Answer 6

dbsingh thanks