Question

Put the equation $\frac{x}{a}+\frac{y}{b}=1$ to the slope intercept form and find its slope and y-intercept.

Answer 1

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

$\text{The slope intercept form is}$

$y=mx+c$

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

$bx+ay=ab$

$ay=-bx+ab$

$y=\frac{-bx}{a}+b$

$\text{Thus y-intercept is b,}$

$\text{Slope}=\frac{-b}{a}$