Put the Equation X a + Y B = 1 to the Slope Intercept Form and Find Its Slope and Y-intercept. - Mathematics

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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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 23 The straight lines
Exercise 23.9 | Q 3 | Page 72

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