What is an equation of the line that is perpendicular to y-4=2(x-6) and passes through the point (-3,-5)

Step-by-step explanation:

The given equation is

This equation is in the point-slope form, , where is the slope of this line.

The line that is perpendicular to this line has slope

If this line that is perpendicular to the given line passes through (-3,-5), then it will have equation;

in point-slope form

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.