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

The perpendicular y=-x/4-5,(7,-3) is y=4x-31

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

perpendicular

y = - \frac{x}{4} - 5, (7, - 3)

y = 4 x - 31

Solution steps

Find the line

y = mx + b

perpendicular to

y = - \frac{x}{4} - 5

that passes through

(7, - 3)

Find the slope of

y = - \frac{x}{4} - 5 : m = - \frac{1}{4}

Compute the slope of the perpendicular line:

m_{p} = 4

Find the line with slope m=

4

and passing through

(7, - 3) : y = 4 x - 31

y = 4 x - 31

f (x) = \frac{1}{x ^{2} + 4} - \frac{1}{x ^{2} - 4}

f (x) = \frac{2}{x + 5}

y = 8 x + 7

f (x) = 4 \cdot x^{2} - 3 \cdot x - 12

f (x) = 3 x^{3} - 18 x^{2} + 100

What is the perpendicular y=-x/4-5,(7,-3) ?
The perpendicular y=-x/4-5,(7,-3) is y=4x-31