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Answer:
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
Step-by-step explanation:
The standard form equation of a line is of the form ...
ax +by = c
where a, b, c are mutually prime integers. The leading coefficient must be positive.
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The standard form equation of a line can be found for the two points (x1, y1) and (x2, y2) using the formula ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
Using this equation, you must choose y2>y1. If y2=y1, you must choose x1>x2.
You will need to eliminate any fractions by multiplying the equation by an appropriate number. Once you have the numbers figured out, you need to factor out any common factors from the coefficients and the constant, so they are all mutually prime.
