The equation of the line that contains the point P(−4, −4) and is perpendicular to the graph of y = − 4/5x − 1 is y+4 = 5/4(x+4)
The equation of a line in point slope form is expressed as;
y-y1 = m(x-x1)
where
m is the slope
(x1, y1) is any point on the line
Given the following
(x1, y1) = (-4, -4)
perpendicular lope = 5/4
Substitute
y-(-4) = 5/4(x-(-4))
y+4 = 5/4(x+4)
Hence the equation of the line that contains the point P(−4, −4) and is perpendicular to the graph of y = − 4/5x − 1 is y+4 = 5/4(x+4)
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