Find the equation of a line that is perpendicular to line g that contains (P, Q).

coordinate plane with line g that passes through the points negative (3, 6) and (0, 5)

3x − y = 3P − Q
3x + y = Q − 3P
x − y = P − Q
x + y = Q − P

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Answer:

x-y is parallel, im confused on what your asking for and what you mean by "negative"

Step-by-step explanation:

The  equation of a line that is perpendicular to line g that contains (P, Q). is 3x − y = 3P − Q

What is Equation of line?

The general form of the equation of a line with a slope m and passing through the point (x1, y1) is given as: y - y1 = m ( x- x1)

Further, this equation can be solved and simplified into the standard form of the equation of a line.

Given:

Line g passes through (3,6) and (0,5).

Slope of lone= y2 - y1/ (x2 - x1)

Perpendicular lines have opposite, reciprocal slopes, so negative change in x over change in y.

slope of line= -(-3 - 0)/(6 - 5)

                      = - -(-3)/1 =

slope of line = 3

Now, Two lines are perpendicular if they have the same slope.

Line parallel to line g has a slope of 1. Since it passes through (P, Q),

y - y1 = m ( x- x1)

y- Q =3 ( x- P)

y- Q = 3x- 3P

3x − y = 3P − Q

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