Question

write equation of a line through (0,0)and slope m​

Answer 1

Answer:

y = mx

Step-by-step explanation:

Equation of a line through (0,0)and slope m is

y = mx

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Answer 2

Solution :

We know that , the slope m of the line through the points $\sf( x_{1}, y_{1})$ and $\sf ( x_{2} ,y_{2})$ is given by :

$\huge \sf \fbox{ \fbox{m = \frac { \: \: y_{2} - y_{1} \: \: }{x_{2} - x_{1}} }}$

So , the equation of a line through (0,0) and having a slope m is

$\implies \sf m = \frac{ y_{2} - 1}{ x_{2} - 0 } \\ \\ \implies \ \sf m x_{2} = y_{2}$

Hence , the equation of a line through (0,0) and having a slope m is mx = y or y = mx