Given: the line cuts off equal intercepts on the coordinate axes i.e. a = b.
We know that equation of the line intercepts a and b on x-and y-axis, respectively, which is
\( \dfrac{x}{a}+\dfrac{y}{b}=1 \)
So, \( \dfrac{x}{a}+\dfrac{y}{a}=1 \)
x + y = a … (1)
Given: point (2, 3)
2 + 3 = a
a = 5
Substitute value of ‘a’ in (1), we get
x + y = 5
x + y – 5 = 0
The equation of the line is x + y – 5 = 0.
Answered by Pragya Singh | 1 year agoFind the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.
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