Slope $= - 4$ and y-intercept $= 2$ , then the equation of line is $m x + y = c$ . Find $m + c$ .

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Solution

The equation of any straight line can be written as $y = m x + c$ , where $m$ is its slope and $c$ is its y - intercept.
Hence, the equation of the line with slope $= - 4$ and y - intercept $= 2$ is $y = - 4 x + 2$ or $4 x + y = 2$ .
comparing with given eq. $m x + y = c$ , we get $m = 4, c = 2$

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