What is the equation for the line that contains the point (2,-3) and is parallel to the line 2x+y=6?

1 Answer
Mar 12, 2018

y = -2x + 1

Explanation:

First we convert your equation to y = mx+c form:
2x+y = 6
y = -2x+6
Parallel lines always share the same gradient.
Therefore we know our equation is y = -2x + c.
We can determine the c value by substituting the known x and y values.
-3 = -4 + c
1 = c
Therefore our equation is y = -2x + 1.