Answer:
y = 2x - 3.
Step-by-step explanation:
The slope of the given line segment = (-2-0)/(3- -1) = -2/4
= -1/2.
therefore the slope of the bisecting line = -1 / -1/2 = 2.
The coordinates of the midpoint of the bisecting line is (3 + -1)/2, (-2+0)/2
= (1, -1).
So now we can find the equation of the required line using the point-slope form of a line:
y - y1 = m(x - x1) Here m = 2 , x1 = 1 and y1 = -1:
y - (-1) = 2(x - 1)
y + 1 = 2x - 2
y = 2x - 3. (answer).
