Question

Find the equation of a straight line passing through the point (-4, 5) and cutting off equal intercept on the axis

Answer 1

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Answer 2

$\mathtt{ \huge \fbox{SOLUTION :</p><p>}}$

Given ,

The x intercept (b) is equal to y intercept (a) i.e b = a

We know that , the intercept form is given by

$\mathtt{ \large \underline{ \fbox{ \frac{x}{a} + \frac{y}{b} = 1 }}}$

So ,

$\sf \hookrightarrow \frac{x}{a} + \frac{y}{a} = 1 \\ \\ \sf \hookrightarrow x + y = a - - - - (i)$

Since , the given line passes through the point (-4,5) , so ,

$\sf \hookrightarrow ( - 4)+ 5 = a \\ \\ \sf \hookrightarrow a = 1$

On substituting the value of a = 1 in equation (i) , we obtain

x + y = 1 , which is the required equation of the line