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

1 Answer
Adam
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.

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