# Finding equation of the line that passes though the two points

Find the equation of the line that passes though the points (-2,5) and (8,15)?

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General equation of the straight line function is $y=mx+c$, where m is slope. $$m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-5}{8-(-2)}=\frac{10}{10}=1$$ If $m = 1$, then we have $y=x+c$. Now we can easy find c by inserting one of the given points coordinates to our equation. $$15= 8 + c, \ \ c=7$$ Answer: $y=x+7$