Question 352501
Let M = midpoint


M = [(-3) + (-4)]/2,[(-5 + (-7)]/2


M = (-7/2, -12/2)


M = (-7/2, -6)....This is the midpoint.


=======================================


I guess by the line equation, you mean the equation of the line between the two given points.



In that case, we need to find the slope first.



Let little m = the slope



m = (-7 - (-5))/(-4 - (-3))



m = (-7 + 5)/(-4 + 3)



m = -2/-1


m = 2


The slope is 2.


We now use the point-slope formula and one of the given points to find your equation.


y - y1 = m(x - x1)....This is the point-slope formula.


y - (-5) = 2(x - (-4))


y + 5 = 2(x + 4)


y + 5 = 2x + 8


y = 2x + 8 - 5


y = 2x + 3