SOLUTION: write equation of the line containing given point and parallel to the given line.Express your answers in form y=mx+b for (2, -4); 9x + 8y =3

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Question 574709: write equation of the line containing given point and parallel to the given line.Express your answers in form y=mx+b for (2, -4); 9x + 8y =3
Found 2 solutions by unlockmath, solver91311:
Answer by unlockmath(1688) (Show Source):
You can put this solution on YOUR website!
Hello,
Let's put this 9x + 8y =3 in y=mx+b form:
y=-9/8(x)+3/8
So we know the slope is -9/8
Now plug in (2,-4) to find b:
-4=-9/8(2)+b
Solve for b to get:
b=-7/4
Now we know the equation is:
y=-9/8(x)-7/4
make sense?
RJ
www.math-unlock.com

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Since the and terms are on the same side of the equals sign, take the opposite of the coefficient on and divide it by the coefficient on to calculate the slope of the line represented by the given equation. Parallel lines have equal slopes. Use the point-slope form of an equation of a line:

where are the coordinates of the given point and is the calculated slope.

Rearrange your equation into slope-intercept form.

John

My calculator said it, I believe it, that settles it