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Question
Put the equation \[\frac{x}{a} + \frac{y}{b} = 1\] to the slope intercept form and find its slope and y-intercept.
Solution
The given equation is \[\frac{x}{a} + \frac{y}{b} = 1\]
\[bx + ay = ab\]
\[ \Rightarrow ay = - bx + ab\]
\[ \Rightarrow y = - \frac{b}{a}x + b\]
This is the slope intercept form of the given line.
∴ Slope = \[- \frac{b}{a}\] and y-intercept = b
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