Question

What is an equation of the line that passes through the point ( 2 , − 4 ) (2,−4) and is parallel to the line 6 x + y = 2 6x+y=2?

Answer 1

6x + y = 8

Explanation:

Please invest a bit more care in posting points and functions, so as to avoid unnecessary duplication.

One way to find this equation is to adapt the given equation of the line:

6x + y = 2 will be the equation of the "new" line if only we can calculate the correct constant (omitting the 2).

6x + y = k; let's find this k:

6(2) + (-4) = k

Then:

12 - 4 = k, and k = 8.

The desired new equation is 6x + y = 8.