What is the perpendicular y=-x/2+6 ?

The perpendicular y=-x/2+6 is y=2x+b

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perpendicular y=-x/2+6

perpendicular

y = - \frac{x}{2} + 6

y = 2 x + b

Solution steps

Find the slope of

y = - \frac{x}{2} + 6 : m = - \frac{1}{2}

Compute the slope of the perpendicular line:

m_{p} = 2

Line with slope m=

2 : y = 2 x + b

y = 2 x + b

(0, - 2), (4, 2)

f (x) = 4 x^{3} - 48 x - 9

f (x) = 7 (2)^{x}

10 - 4 x = \frac{1}{3} y

(- 5, 5), (- 2, 10)