Asegment has an endpoint at (1,−2). the midpoint is at (−4,−2). what are the coordinates of the other endpoint?

(−1.5,−2)

(−9,−2)

(6,−2)

(−8,−2)

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

Midpoints

If P(a,b) and Q(c,d) are points in , the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)