Question

Write the equation of the line parallel to the given line and passing through the given point.

6x+y=4 through (−2,3)

Answer 1

y=-6x-9

Explanation:

First, we have to make it standard form:

6x+y=4 (-2,3)

y=-6x+4

Now, you have to substitute it:

3=(-6)*(-2)+b

3=12+b

-9=b

b=-9

Now just put it into the equation:

y=-6x-9

Answer 2

y= -6x -9

slope stays the same because it is parallel and the y intercept ends up being -9 for the new equation