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

The perpendicular y= 5/4 x,(4,5) is y=-4/5 x+41/5

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perpendicular y= 5/4 x,(4,5)

perpendicular

y = - \frac{4}{5} x + \frac{41}{5}

Solution steps

Find the line

y = mx + b

perpendicular to

y = \frac{5}{4} x

that passes through

(4, 5)

Find the slope of

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

Compute the slope of the perpendicular line:

m_{p} = - \frac{4}{5}

Find the line with slope m=

- \frac{4}{5}

and passing through

(4, 5) : y = - \frac{4}{5} x + \frac{41}{5}

y = - \frac{4}{5} x + \frac{41}{5}

What is the perpendicular y= 5/4 x,(4,5) ?
The perpendicular y= 5/4 x,(4,5) is y=-4/5 x+41/5