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Write the equation using functional notation . Through (6,-2) ; perpendicular to 2y=x-4

User Rizzy
by
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1 Answer

4 votes

Answer:


f(x)=-2x+10

Explanation:

The given line passes through (6-2).

The given is perpendicular to 2y=x-4.

We solve for y in the given equation to get;


y=(1)/(2)x-2

The slope of this line is
(1)/(2)

The slope of the line perpendicular to this line is the negative reciprocal of the
(1)/(2).

Hence;
m=-(1)/((1)/(2) ) =-2

The equation is given by


y-y_1=m(x-x_1)

We substitute the point
(x_1,y_1)=(6,-2) to obtain;


y--2=-2(x-6)

Hence the required equation is;


y+2=-2x+12


y=-2x+12-2


y=-2x+10

The function notation is


f(x)=-2x+10

User Pheonix
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