The equation of straight line which passes through the point (-4,3) such that the portion of the line between the axes is divided by the point in ratio 5:3 is -

Explanation

Let the line cut the x axis at `(a,0)` and y−axis at `(0,b)`
so,
Given the point `(−4,3)` divides the line internally in` 5:3` ratio.
Hence applying the formula for internal division of line segment, we get

`(-4,3)=(3a+0)/(3+5),(5b+0)/(3+5)`

So,

`(3a)/8=−4 and (5b)/8​=3`

Hence` a=(−32)/3​ and b=(24)/5`
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Using slope intercept form we get

`=>x/a+y/b=1`

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