Answer:
-1
y = -x -2
1
y = x + 6
Step-by-step explanation:
Given line is y = - x - 4
We know that the equation of a line is of the form y = mx + c where m is the slope of the line and c is a constant
Now The slope of the given line is m = -1
We know that the slope of any line parallel to the given line is same the original one
Therefore the slope of the line parallel to the given line is -1
Given the point is ( -4 , 2 ) and slope is -1
We know that the equation of a line passing through the point (c , d) and slope m is
[tex]y - d=m\times(x-c)[/tex]
Here the equation is
[tex]y-2=-1\times(x-(-4))[/tex]
y = -x -2
We know that if two lines with slopes m1 and m2 are perpendicular then m1m2 = -1
Here m1 = -1 then
m2 = 1
Given the point is ( -4 , 2 ) and slope is 1
We know that the equation of a line passing through the point (c , d) and slope m is
[tex]y - d=m\times(x-c)[/tex]
Here the equation is
[tex]y-2=1\times(x-(-4))[/tex]
y = x + 6
