Mathematics
On a graph paper, mark the points A(-1, -1) and B(2, 5). Draw a straight line passing through A and B. If points (m, 4) and (0.5, n) lie on this line, use graphical method of finding the values of m and n.
Graphical Solution
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Answer
Plot the given points A(-1, -1) and B(2, 5) 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 1.5.
∴ m = 1.5
Also, as (0.5, n) lies on the straight line drawn, through x = 0.5, 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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