Astudent was given the equation x^2+6x-13=0 the next step in the students process was x^2+6x+c=13+c state the value of c that creates a perfect square trinomial explain how the value of c is determined

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)