Question

Consider a line passing through the points A(–28, –13) and B(28, 15). Type the y-value for the point C(–24, y) to ensure that point C also lies on line AB.

Answer 1

Explanation:

`(y_2-y_1)/(x_2-x_1)=(15-(-13))/(28-(-28))\\=(28)/(2(28))\\\therefore\ m=(1)/(2)\\(y-y_1)/(xl-x_1)=m]\\(y+13)/(x+28)=(1)/(2)\\2y+26=x+28\\2y=x+2\\ y=(1)/(2)x+1`

In order to find y for point C on AB, substitute point C in line equation if AB.

`y=(1)/(2)(-24)+1\\\therefore y=-12+1=11\\\therefore C(-24, -11)`