Write the equation of a line that is parallel to the line y = 6 and passes through point (-7, -5)

Answer 1

y = 6 is a straight line with a slope of zero.

Any line of the form y = n will have the same slope. So.....the one passing through (-7,-5) is:

y = -5

Plot the lines on graph paper to see how this works

Answer 2

Well, we can do this a few ways.

First, what does y = 6 look like? It's a horizontal line where any point has a y-value of 6. What would the equation be of a horizontal line that includes (-7,-5) as a point?

y = -5

Now, let's say you don't realize that. Since we have no "x" in our equation, the slope is 0, but we don't write y = 0x + 6 because that's just silly.

We can use our given point to find b.

-5 = 0(-7) + b

-5 = 0 + b

b = -5

y = 0x - 5

y = -5

Or, lastly...

y - (-5) = 0(x - (-7))

y + 5 = 0(x + 7)

y + 5 = 0

y = -5

Hopefully one of those works for you.