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The slope-intercept form is y = mx + b.

The point-slope form is y - y1 = m(x - x1).

The standard form is Ax + By = C. It is not unique for any line.

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Q: What is formula of equation of a line?
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m = (y2 - y1) / (x2 - x1)


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Why can you use the point-slope formula when writing an equation of a horizontal line but not with a vertical line?

A vertical line HAS NO slope! The slope is undefined in this case.


What is AX plus BY plus C equal 0 the formula for if it is not standard form of a linear equation?

That's the equation of a straight line. There are several common ways to represent the equation of a straight line; you might say, there are different "standards". This is one; another common form is the slope-intercept formula, and yet another one is the point-slope formula.


Is point slope form the same as equation of a line?

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