Write an equation in slope intercept format of the line that is a segment bisector of both AB and CD. A(-1,8) B(3,4) C(1,10) and D(7,8) find y.

y = x + 5

Explanation:

The equation of a line in slope intercept form is y = mx + c, where m is the slope and y is the intercept

The midpoint or bisector (x, y) of a line with endpoints at () and () is given by:

If AB is at A(-1,8) B(3,4), the coordinates of the midpoint of AB is:

The midpoint of AB is (1, 6)

If CD  is at C(1,10) and D(7,8), the coordinates of the midpoint of CD is:

The midpoint of CD is (4, 9)

The equation of the line passing through two points is given as: