Respuesta :

Answer:

y = -6x + 5

Step-by-step explanation:

Perpendicular to the line:

find reciprocal of slope 1/6 => m= -6

Sub m = -6 and point (-3,23) into equation of a line

y = mx + b

23 = -6(-3) + b

23 = 18 + b

Isolate and find b

b = 5

Sub slope and b to get the equation

Answer:

The Answer is: y = -6x + 5

Step-by-step explanation:

Given point: (-3, 23)

Given equation:

y = 1/6x + 3.

A perpendicular line has the negative inverse slope. Slope of the given line is 1/6. Slope of the perpendicular line is -6.

Use the point slope form of the equation:

y - y1 = m(x - x1)

y - 23 = -6(x - (-3))

y - 23 = -6(x + 3)

y - 23 = -6x - 18

y = -6x - 18 + 23

y = -6x + 5

Proof:

f(x) = -6(-3) + 5

= 18 + 5

= 23, giving point (-3, 23)

Hope this helps! Have an Awesome Day!! :-)

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