Q:

The coordinates of points M,N, and P are ....

Accepted Solution

A:
Answer:(-1, -1) Let me know if the explanation didn't make sense.  Step-by-step explanation:If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.MN is easy since their y values are the same, the slope is 0.NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)y-3 = -4(x+2) -> y = -4x-5y+1 = 0(x-5) -> y = -1So now we want these two to intersect.  We just set them equal to each other. -1 = -4x -5 -> -1 = xSo this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)