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# How do you find the equation of a line on a graph using the equation y=mx+c?

First identify the two cordinates on the graph. Lable the first co-ordinate x1 and y1 . The second coordinate x2 and y2. Then use the formula y2 minus y1 divded by X2 minus X1. This will give you the gradient of the line. Lastly, look at where the line crosses the y axis. This will be the c intercept. Hope this helped !!  Hhhhhgg Sjsjsj
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1.2k students helped

To expand on Dr Badi M’s answer - the easiest way is usually to look at the points where the line intersects the x & y axis’ where possible. This is because where the line intersects the y axis, x=0 & where it intersects the x axis, y=0 which makes the y=mx + c equation particularly easy to solve for m & c values. so for the point where the y axis intersects, x=0 which means the y value = c. once you know c, by taking the x value where the line intersects the x axis & substituting in the value of c from earlier, y=0, can rearrange to find value for m (-c/x).  Nick Gray
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If you have 2 points then you can substitute in the equation and find the slope m and the y intercept c  the eightfold path of Buddhism regarded as a golden mean between self-indulgence and self-mortification.

Samantha Johnson
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85 students helped

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