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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An equation of a line requires two parameters. The slope, by itself, is not enough.
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Subtract the equation of one line from the equation of the other
By substitution
Substitute the coordinates of the point into the equation of the line. If the result is true, then the point is on the line.