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

The perpendicular 5x-2y=4,(2,-4) is y=-2/5 x-16/5

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

perpendicular

5 x - 2 y = 4, (2, - 4)

y = - \frac{2}{5} x - \frac{16}{5}

Solution steps

Find the line

y = mx + b

perpendicular to

5 x - 2 y = 4

that passes through

(2, - 4)

Find the slope of

5 x - 2 y = 4 : m = \frac{5}{2}

Compute the slope of the perpendicular line:

m_{p} = - \frac{2}{5}

Find the line with slope m=

- \frac{2}{5}

and passing through

(2, - 4) : y = - \frac{2}{5} x - \frac{16}{5}

y = - \frac{2}{5} x - \frac{16}{5}

\frac{1}{2 ( 4 x + 1 )}

- 6 x^{2}

4 x - 7

f (x) = \frac{x ^{2} + 1}{x ^{2} - 9}

\frac{2 x}{x ^{2} - 1}

What is the perpendicular 5x-2y=4,(2,-4) ?
The perpendicular 5x-2y=4,(2,-4) is y=-2/5 x-16/5