Answer
The equation of the line is:
$y=0.5x+1.5$
Work Step by Step
The slope of the line can be found as the product of the slopes of two perpendicular linesis $-1$. Therefore the product of the slope of the line $2x+y=2$ and the one we are trying to find equals to $-1$.
The given line can be rewritten as: $y=-2x+2$, in this form the coefficient of $x$ gives the slope.
Hence, the slope of this line is $m_1=-2$.
This means that the slope ($m_2)$ of the line we are after is:
$-2\times m_2=-1$
$m_2=0.5$, this is the slope of the line we are trying to find.
If we have the slope and a point on the graph $(-3,0)$ we can use the point-slope formula to find the equation of the line:
$y-y_1=m(x-x_1)$
$y-0=0.5(x-(-3))$
$y=0.5(x+3)$
$y=0.5x+1.5$
