A straight line passes through the points (2, 4) and (5, - 2). Ta… - Vidyadip

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

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.

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