Question

Write an equation of a line containing the given point and the parallel to the given line. express your answer in the form y==mx+b. (6,9); x+5y=8

Answer 1

When two lines are parallel it means they have the same slope.
What is the slope of x+5y=8?

Answer 2

Try to get y on side.

Answer 3

\[y = -x\frac{1}{5} + \frac{8}{5}\]

Answer 4

So the slope of this line and our line is -1/5

Answer 5

So we already know the m=-1/5

Answer 6

We can find the b,"usually known as the y intercept" by pluging in (6,9) into y = (-1/5)x + b. =]

Answer 7

-1/5x+?/5 I can figure out how to sole for the ?

Answer 8

Forget about the first line. It already gave us what we wanted: The slope.
Our line is running parallel to it so its slope is the same. If you can imagine two lines apart running in the same direction and will never cross.
So OUR line is like this:
y = (-1/5)x + b
We must find b. We can do that because we know a point on it. We put in x=6 and y=9.
Then get b on one side.

Answer 9

i got 5.8. is that right

Answer 10

9b=-5.8

Answer 11

Show me your work. does (-1/5) * 6 = (-6/5) = -5.8?

Answer 12

(9) = -(6/5) + b

Answer 13

9 + (6/5) = b

Answer 14

Yummy fractions.

Answer 15

b = 51/5 or 10.2. You probably got the same thing.

Answer 16

yes i did

Answer 17

Just remember TWO parallel lines have the same slope, the same m.
Good luck! =]