Mathematics
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.
Graphical Solution
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Answer
Plot the given points (2, 4) and (5, -2) on a graph paper.
Draw a straight line AB passing through these points.
Since, point (m, -4) lies on the straight line drawn, through y = -4 draw a horizontal line which meets the straight line AB at point P. Through P, draw a vertical line which meets the x-axis at point 6.
∴ m = 6
Also, as (3, n) lies on the straight line drawn, through x = 3, draw a vertical line which meets the straight line at point Q. Through point Q, draw a horizontal line which meets the y-axis at point 2.
∴ n = 2
Hence, m = 6 and n = 2.
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