P(a, b) is the mid-point of a line segment between axis. Show that equ

1.	P(a, b) is the mid-point of a line segment between axis. Show that equation of the line is \(\frac{x}{a} + \frac{y}{a} =2\)
Answer» Since the P(a, b) is the mid-point of the line segment, then the x-intercept and the y-intercept will be 2a and 2b. Hence the equation of the line is \(\frac{x}{2a} + \frac{y}{2b} = 1\) \(\Rightarrow\) \(\frac{x}{a} + \frac{y}{b} = 2\)

P(a, b) is the mid-point of a line segment between axis. Show that equation of the line is \(\frac{x}{a} + \frac{y}{a} =2\)

Answer»

Since the P(a, b) is the mid-point of the line segment, then the x-intercept and the y-intercept will be 2a and 2b. Hence the equation of the line is

\(\frac{x}{2a} + \frac{y}{2b} = 1\)

\(\Rightarrow\) \(\frac{x}{a} + \frac{y}{b} = 2\)

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P(a, b) is the mid-point of a line segment between axis. Show that equation of the line is \(\frac{x}{a} + \frac{y}{a} =2\)

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