Put the equation x a + y b =1 to the slope intercept form and fin… - Vidyadip

Question

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

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Answer

$\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$The slope intercept form is
$\text{y}=\text{mx}+\text{c}$ $\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$ $\text{bx}+\text{ay}=\text{ab}$ $\text{ay}=-\text{bx}+\text{ab}$ $\text{y}=\frac{-\text{bx}}{\text{a}}+\text{b}$ Thus y-intercept is b. Slope $=\frac{\text{-b}}{\text{a}}$

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