Question

Michel drew point A at (-14, 10) and point C at (9, 5). What is the y-coordinate of point B that bisects AC? Round any decimals to the nearest tenth.

Answer 1

B (- 2,5, 7.5 )

Step-by-step explanation:

point B bisects AC , that is B is the midpoint of AC

To find B , calculate the average of the x and y coordinates of A and C

B = (
`(-14+9)/(2)` ,
`(10+5)/(2)` ) = (
`(-5)/(2)` ,
`(15)/(2)` ) = (- 2.5, 7.5 )

Answer 2

To find the y-coordinate of point B that bisects AC, average the y-coordinates of points A (-14, 10) and C (9, 5). The resulting y-coordinate of the midpoint B is 7.5.

Step-by-step explanation:

The student is asking how to find the y-coordinate of point B that bisects the line segment AC when point A is at (-14, 10) and point C is at (9, 5). To find the y-coordinate of the midpoint B, we simply need to take the average of the y-coordinates of points A and C.

The formula for finding the y-coordinate of the midpoint (Ym) is:

Ym = (Ya + Yc) / 2

Where Ya and Yc are the y-coordinates of points A and C, respectively. Substituting the given values:

Ym = (10 + 5) / 2Ym = 15 / 2Ym = 7.5

Thus, the y-coordinate of point B, which bisects AC, is 7.5.