Question

Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.​

Answer 1

SOLUTION

TO DETERMINE

The equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

EVALUATION

The equation of the line which makes equal intercepts on the coordinate axis is

$\displaystyle \sf{} \frac{x}{a} + \frac{y}{a} = 1$

On simplification we get

$\implies \sf{}x + y = a \: \: \: ....(1)$

Now the equation (1) passes through the point (-4,5)

So we get from Equation (1)

$\sf{} - 4 + 5 = a$

$\implies \sf{}a = 1$

From Equation (1) we get by putting the value of a

$\sf{}x + y = 1$

FINAL ANSWER

Hence the required equation of the line is

$\sf{}x + y = 1$

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LEARN MORE FROM BRAINLY

Derive the equation of a line having X and Y intercept value as 'a' and 'b' respectively and hence find the equation of the line

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