# Which is an equation of a line that passes through point P(1,1) and is parallel to the given line y=-2x+4?

Oct 26, 2016

$y = - 2 x + 3$

#### Explanation:

If a line is parallel to another it simply means that the two lines have the same gradient.
So a line parallel to,

$y = - 2 x + 4$

will have the general formula,

$y = - 2 x + c$

so given a point on the line like $\left(1 , 1\right)$ we can determine the actual equation of the line by subbing in.

$1 = - 2 \left(1\right) + c$

$c = 3$

leaving us with,

$y = - 2 x + 3$

as our new line.