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# Write linear function equation, when we have a slope and one point

Write linear function equation, if $m = 0.5$ and point with coordinates $(3,12)$ belongs to this function. How solve this task?

General equation of the straight line is $y=mx+c$. If $m = 0.5$, then we have $y=0.5x+c$. Now we can easy find c by inserting given point coordinates to our equation.

$$12=0.5 \cdot 3 + c, \ \ c=10.5$$

Answer: $y=0.5x+10.5$

2020-11-29