Question

If P(x,y) is any point on the line joining the points A(a, o) & B(o, b), then show that $\frac{x}{a}+\frac{y}{b}=1$

• A. undefined
• B. undefined
• C. undefined
• D. undefined

Answer 1

Given that P(x, y) be any point on the straight line AB cutsoff intercepts a and b on x - axis at A(a, 0) and y - axis at B(0, b).
$\therefore$ Slope of the straight line $AB=-\frac{b}{a}$
Then the equation of striaght line by the slope - intercept form
$\Rightarrow y=(-\frac{b}{a})x+b$
$\Rightarrow \frac{y}{b}=(-\frac{1}{a})x+1$
$\Rightarrow \frac{x}{a}+\frac{y}{b}=1$