What is the midpoint of the segment

(-3,4)(-6,-1)

The easy way

look at the y's = 4 and -1 the difference is 5 now /2 = 2.5

so the y midpoint is 2.5 from each point or 1.5

look at the x's = -3 and -6 the differebce is 3 now /2 = 1.5

so its 1.5 from each point or -4.5

so midpoint is (-4.5, 1.5) or (-9/2, 3/2)  or C

the formula way:

for x

x1+x2/2

-3+-6/2

-9/2 (which is -4.5)

for y

y1+y2/2

4+-1/2

3/2 (which is 1.5)

practice. practice. practice.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this