Question

the equation of a line passing through the points (a,0),(0,b) is​

Answer 1

check the attachment

Answer 2

Answer:

$\frac{x}{a}$ + $\frac{y}{b} = 1$ is the equation of a line passing through the points $(a,0) , (0,b)$.

Step-by-step explanation:

Equation of a line passing through two points $(m,n) ,(p,q)$ is given by ,

$\frac{y-n}{x-m} =\frac{q-n}{p-m}$

So applying same concept here, we will get

$\frac{y-0}{x-a} = \frac{b-0}{0-a} \\\frac{y-0}{x-a} = \frac{-b}{a}$

$\frac{y}{x-a} = \frac{-b}{a}$

on cross multiplication, we get

$ay =-bx + ab$

$ay+bx=ab$

divide both sides by ab , we get

$\frac{ay}{ab} + \frac{bx}{ab} = \frac{ab}{ab}$

$\frac{y}{b} +\frac{x}{a} = 1$

$\frac{x}{a} + \frac{y}{b} = 1$

This is the required equation of line.

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