What is the equation in point-slope form of a line that passes through the points (7, -8) and (-4, 6)?

Answer

y - 6 = -14/11(x + 4)

Explanation

slope = (change in y)/ (change in x)

          = (6 - -8) / (-4 - 7)

         = 14/-11

         = -14/11

Equation

-14/11 = y - 6)/(x - -4)

-14/11 = (y - 6)/(x + 4)

-14(x + 4) = 11(y - 6)

y - 6 = -14/11(x + 4)

The answer is the third one.

Step-by-step explanation:

The standard form for a circle is

and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,

which tells us that our center is

        6      and     -3 -------------------> (6, -3)

The radius is the square root of 25 which is 5.