You can put this solution on YOUR website! Write an equation for the line that is perpendicular to y = – x + 4 and passes through (–4, –5).
Since lines are perpendicular; multiplication of the their slopes will result in (-1) or in other words their slope will be reciprocal and the sign (- or +) will be inverse.
Given line
y=-x+4
Slope of the given line = -1
slope of the required will be = 1
Now we have a point and slope we can put the values in point-slope form of the equation to find the required line
y2-y1/x2-x1=m
-5-y/-4-x=1
-5-y=-4-x
-(5+y)=-(4+x)
5+y=4+x
y=4+x-5
y=x-1
Above equation is the required equation of the line.
