How to find the equation of a line?

Answer 1

Equation of a line may be written as y = mx + c.

m is called the slope of the line.

c is the point where the line crosses the y axis.

If two points are given: (x1, y1) and (x2, y2), m is calculated as the y difference divided by the x difference:

m = (y2 - y1) / (x2 - x1)

Once you find m, you can find c by putting in the values into the equation y=mx+c. For example, if you use (x1, y1), you can do this:

y1 = m*x1 + c

take m*x1 to the other side:

y1 - m*x1 = c

Then you get the value of c. Now you have both m and c, so you can write the equation of the line:

y = mx + c

Put the values of m and c in. Leave y and x as it is.

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