What is the perpendicular y=-2/3 x,(4,-8) ?

The perpendicular y=-2/3 x,(4,-8) is y= 3/2 x-14

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perpendicular y=-2/3 x,(4,-8)

perpendicular

y = - \frac{2}{3} x, (4, - 8)

y = \frac{3}{2} x - 14

Solution steps

Find the line

y = mx + b

perpendicular to

y = - \frac{2}{3} x

that passes through

(4, - 8)

Find the slope of

y = - \frac{2}{3} x : m = - \frac{2}{3}

Compute the slope of the perpendicular line:

m_{p} = \frac{3}{2}

Find the line with slope m=

\frac{3}{2}

and passing through

(4, - 8) : y = \frac{3}{2} x - 14

y = \frac{3}{2} x - 14

f (x) = \frac{3 x - 24}{2 x ^{2} - 8 x - 64}

\frac{k + ln ( x )}{x}

f (x) = x^{2} - 11

sin (x)

f (x) = \frac{2 x + 3}{x}

What is the perpendicular y=-2/3 x,(4,-8) ?
The perpendicular y=-2/3 x,(4,-8) is y= 3/2 x-14