The $x$ and $y$ intercepts of the following line is:
$y = 2 x - 3$

\frac{2}{3}, - 3

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\frac{3}{2}, - 3

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\frac{2}{3}, 3

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- \frac{2}{3}, 3

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Solution

The correct option is A $\frac{3}{2}, - 3$
$G i v e n - t h e e q u a t i o n o f a l i n e i s y = 2 x - 3. T o f i n d o u t - t h e e q u a t i o n o f t h e l i n e i n i n t e r c e p t f o r m w h i c h i s \frac{x}{a} + \frac{y}{b} = 1 w h e n a = x - i n t e r c e p t a n d b = y - i n t e r c e p t . S o l u t i o n - y = 2 x - 3 ⟹ 2 x - y = 3. D i v i d i n g b o t h s i d e s b y 3 w e g e t \frac{2 x}{3} - \frac{y}{3} = 1 ⟹ \frac{x}{\frac{3}{2}} + \frac{y}{- 3} = 1. ∴ x - i n t e r c e p t = a = \frac{3}{2} a n d y - i n t e r c e p t = b = - 3. A n s - O p t i o n B .$

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Which of the following statement is / are correct for equation 2x - 3y + 5 = 0

1. Slope of the straight line is $\frac{2}{3}$

2. x-intercept of the straight line is $\frac{- 5}{2}$

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Which of the following statement is / are correct for equation 2x - 3y + 5 = 0

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2. x-intercept of the straight line is $\frac{- 5}{2}$

3. y-intercept of the straight line is $\frac{5}{3}$

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