Calculate the slope and $y$ -intercept of the line $2 x - 3 y + 1 = 0$

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Solution

Given: $2 x - 3 y + 1 = 0$

$\Rightarrow 3 y = 2 x + 1$

$\Rightarrow y = \frac{2}{3} x + \frac{1}{3}$

Comparing with $y = m x + c$ , we get

$m = \frac{2}{3}, c = \frac{1}{3}$

$∴$ Slope $= \frac{2}{3}, y$ -intercept $= \frac{1}{3}$

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