The equation of the line which makes equal intercepts on the axis and passes through the point (2, 5) shall be:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(X+Y = 7\)
A line that cuts the x-axis at \(a\) and the y-axis at \(b\) has the intercept form \(\frac{x}{a}+\frac{y}{b}=1\). With equal intercepts, \(b=a\), so the line is \(x+y=a\); the given point fixes \(a\).
Line with equal intercepts: \(x+y=a\)
It passes through \((2,\ 5)\): \(a=2+5=7\)
So the line is \(x+y=7\), which cuts both axes at 7
