What is the perpendicular y= 1/2 x-1,\at x=1 ?

The perpendicular y= 1/2 x-1,\at x=1 is y=-2x+3/2

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perpendicular y= 1/2 x-1,\at x=1

perpendicular

y = \frac{1}{2} x - 1, at x = 1

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

Solution steps

Find the line

y = mx + b

perpendicular to

y = \frac{1}{2} x - 1

that passes through

x = 1

Find the perpendicular point:

(1, - \frac{1}{2})

Find the slope of

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

Compute the slope of the perpendicular line:

m_{p} = - 2

Find the line with slope m=

- 2

and passing through

(1, - \frac{1}{2}) : y = - 2 x + \frac{3}{2}

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

y = - x^{2} + 10 x - 21

(2, 6), (4, 14)

\frac{6 x + 8}{x ( x + 4 )}

f (x) = x^{3} - 3 x - 2

3 x + 6 y = 6

What is the perpendicular y= 1/2 x-1,\at x=1 ?
The perpendicular y= 1/2 x-1,\at x=1 is y=-2x+3/2