What is the equation on point slope form of a line that passes through the point -4, - 1 and 5, 7

The equation of the line is c)  

Step-by-step explanation:

Here, the two points are (x1, y1) = (-4,-1)  and (x2, y2)= (5,7)

So, the slope of the line joining two points  

Here,

Also, by POINT SLOPE formula line equation is:

(y - y0) = m (x - x0) ; here  m = slope and (x0, y0) is a point on line

So, here the  equation of line is:

Hence,the equation of the line is c)  

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.

you didn't give an question you just gave us a statement