Question

What is the answer to C(3,4);y=-3x+8

Answer 1

The equation passing through C(3,4) and y = -3x+8 or in other words the answer to the given point and equation is y = x/3+3.

According to the question,

We have the following equation:

y = -3x+8

Now, we are given a point C (3,4).

We know that the value of x' = 3 and y' = 4.

Now, we can find the equation perpendicular to this line and passing through the given point.

We know that slope, m, in the given equation is -3.

Now, the slope for the perpendicular line will be -1/m.

So, we have:

m = 1/3

Now, the following formula is to be used to find the equation:

(y-y') = m(x-x')

(y-4) = 1/3(x-3)

Now, we have:

(y-4) = x/3 - 1

Now, moving 4 from the left hand side to the right hand side will result in the change of the sign from minus to plus:

y = x/3-1+4

y = x/3+3

Hence, the answer to C(3,4) and y = -3x+8 is y = x/3+3.

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