What is the perpendicular y=-x/2-4,(5,7) ?

The perpendicular y=-x/2-4,(5,7) is y=2x-3

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perpendicular y=-x/2-4,(5,7)

perpendicular

y = - \frac{x}{2} - 4, (5, 7)

y = 2 x - 3

Solution steps

Find the line

y = mx + b

perpendicular to

y = - \frac{x}{2} - 4

that passes through

(5, 7)

Find the slope of

y = - \frac{x}{2} - 4 : m = - \frac{1}{2}

Compute the slope of the perpendicular line:

m_{p} = 2

Find the line with slope m=

2

and passing through

(5, 7) : y = 2 x - 3

y = 2 x - 3

f (x) = 2 x - 8 x, x > 0

f (x) = \frac{1}{x ( x + 2 )}

y = \frac{1}{x ^{2} - 9}

\frac{9}{x - 4}

f (x) = \frac{x ^{2} - 4 x - 21}{3 x - 21}

What is the perpendicular y=-x/2-4,(5,7) ?
The perpendicular y=-x/2-4,(5,7) is y=2x-3