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

The given equation is $\frac{x}{a}+\frac{y}{b}=1$

$$\begin{gathered} bx+ay=ab \\ \Rightarrow ay=-bx+ab \\ \Rightarrow y=-\frac{b}{a}x+b \end{gathered}$$

This is the slope intercept form of the given line.

∴ Slope = $-\frac{b}{a}$ and y-intercept = b