Find the equation of the straight line that (i)makes equal intercepts on the axes and passes through the point (2;3) (ii) passes through the point (-5;4) and is such that the portion intercepted between the axes is devided by the point in the ratio `1:2`

Explanation

To solve the given problem, we will break it down into two parts as specified in the question.

### Part (i): Find the equation of the straight line that makes equal intercepts on the axes and passes through the point (2, 3).

1. **Understanding Equal Intercepts**: A line that makes equal intercepts on the axes can be represented in the form \( x + y = c \), where \( c \) is a constant. The slope of such a line is -1.

2. **Using the Point (2, 3)**: Since the line passes through the point (2, 3), we can substitute these coordinates into the equation \( x + y = c \):
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