Answer
$y=-x+12$
Work Step by Step
Target: $y=mx+b,$ (find m and b).
Slope: Our line has the same slope as the given line since they are parallel.
Rewrite the given line in slope-intercept form.
$x+y=4\qquad-x$
$y=-x+4$
the slope we are after is $m=-1$
Intercept:
The form of our linear equation is $y=-x+b$
To find b, substitute the coordinates of the given point and solve for b.
$6=-(6)+b \qquad /+6$
$12=b$
Thus,
$y=-x+12$
