Question

Explain and Show the equation of line perpendicular to y=-1x+2 going through the point (6, 3)

Answer 1

y = x-3 is the equation

Explanation:

If two lines are perpendicular, the product of their slopes is -1

The general equation form of a straight line is;

y = mx + b

Fro the equation;

y = -1x + 2

The slope is -1

So the equation of the perpendicular line is as follows;

-1 * m = -1

m = 1

so we can use the point-slope equation form

That would be:

y-y1 = m(x-x1)

y-3 = 1(x-6)

y-3 = x-6

y = x-6+3

y = x-3