What is the perpendicular 4x+5y=9,(4,-2) ?

The perpendicular 4x+5y=9,(4,-2) is y= 5/4 x-7

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perpendicular 4x+5y=9,(4,-2)

perpendicular

4 x + 5 y = 9, (4, - 2)

y = \frac{5}{4} x - 7

Solution steps

Find the line

y = mx + b

perpendicular to

4 x + 5 y = 9

that passes through

(4, - 2)

Find the slope of

4 x + 5 y = 9 : m = - \frac{4}{5}

Compute the slope of the perpendicular line:

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

Find the line with slope m=

\frac{5}{4}

and passing through

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

y = \frac{5}{4} x - 7

f (x) = x^{6} - x^{4}

y = 7 x - 11

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

x - 6

f (x) = \frac{36}{x ^{2}}

What is the perpendicular 4x+5y=9,(4,-2) ?
The perpendicular 4x+5y=9,(4,-2) is y= 5/4 x-7