Question

Given a line segment AB joining the points A(-4, 6) and B(8, -3). Find : (1) the ratio in which AB is divided by the y-axis. (1) the coordinates of the point of intersection (iii) the length of AB,​

Answer 1

Answer:

Step-by-step explanation:

m = ( - 3 - 6 ) ÷ ( 8 + 4 ) = - 3/4

y + 3 = - 3/4 ( x - 8 )

y = ( - 3/4 ) x + 3

( i ) AC = 5 units , CB = 10 units ⇒ The ratio in which AB is divided by the y-axis is 1 : 2

( ii ) The coordinates of the point of intersection are ( 0 , 3 )

( ii ) The length of AB is 15 units