What is the perpendicular y=x,(-1,3) ?

The perpendicular y=x,(-1,3) is y=-x+2

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perpendicular y=x,(-1,3)

perpendicular

y = x, (- 1, 3)

y = - x + 2

Solution steps

Find the line

y = mx + b

perpendicular to

y = x

that passes through

(- 1, 3)

Find the slope of

y = x : m = 1

Compute the slope of the perpendicular line:

m_{p} = - 1

Find the line with slope m=

- 1

and passing through

(- 1, 3) : y = - x + 2

y = - x + 2

f (x) = - \frac{2}{3} x - \frac{10}{3}

f (x) = 100000 - 2500 x

f (x) = \frac{1}{2} (x - 3)^{2} + 4

f (x) = - 2 x - 1

2 x^{2} + 24 x + 76