Find the equation of the line whose:
$s l o p e = 2$ and $y - i n t e r c e p t = 3$ .

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Solution

We know that the equation of a line is $y = m x + c$ where $m$ is the slope of the line and $c$ is the y-intercept.

Therefore, with slope $m = - 2$ and y-intercept $c = 3$ , the equation of a line is:

$y = m x + c \Rightarrow y = (- 2 \times x) + 3 \Rightarrow y = - 2 x + 3 \Rightarrow 2 x + y - 3 = 0$

Hence, the equation of a line is $2 x + y - 3 = 0$ .

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