Question

Complete the table below the graph with the help of the following graph.

Sr. No.	First point	Second point	Co-ordinates of first point (x1 , y1)	Co-ordinates of second point (x2 , y2)	`(y_2 - y_2)/(x_2 - x_2)`
1	C	E	(1, 0)	(3,4)	`4/2=2`
2	A	B	(-1,-4)	(0,-2)	`2/1 = 2`
3	B	D	(0,-2)	(2,2)	`4/2=2`

Answer 1

From the graph

Sr. No.	First point	Second point	Co-ordinates of first point (x1 , y1)	Co-ordinates of second point (x2 , y2)	`(y_2 - y_2)/(x_2 - x_2)`
1	C	E	(1, 0)	(3,4)
2	A	B	(-1,-4)	(0,-2)
3	B	D	(0,-2)	(2,2)

∴ For any two points (x₁, y₁) and (x₂, y₂) on a line graph, the ratio `(y_2 - y_1)/(x_2-x_1)`
is always constant.