Question

A straight line passes through the points (2, 4) and (5, - 2). Taking 1 cm = 1 unit; mark these points on a graph paper and draw the straight line through these points. If points (m, - 4) and (3, n) lie on the line drawn; find the values of m and n.

Answer 1

The table is:

X	2	3	5	m
Y	4	n	- 2	- 4

Plotting the points as shown in the above table,
we get the following required graph:

Plotting the points in the graph we get the above required graph.
Now draw a line x = 3, parallel to y-axis to meet the line
It meets the line at y = 2 and therefore, n = 2
Now draw a line y = -4, parallel to x-axis to meet the line
It meets the line at x = 6 and therefore, m = 6
Thus the values of m and n are 6 and 2 respectively.