Coordinate Geometry - Slope-intercept Form

4 important questions on Coordinate Geometry - Slope-intercept Form

True or false: the equation of any line can be stated in several different algebraically equivalent forms? Aka there are multiple algebraic equations in which an equation of a line can be stated in?

True

In the slope intercept formula, what is b?

In the formula (or equation) b represents the y-intercept.

True or false: Horizontal lines have a slope of 0.

True, which is why when we see a form (or formula) of y = b, with b = 3,
it is still the slope intercept formula (y = mx + b). But since a horizontal line has a slope of 0, it means that mx = 0.

Plugging that in would look like:
y = 0 + b.
Why even write the 0, or the mx in y = mx + b if its zero?
Hence, y = b.
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True or false: Vertical lines have an undefined slope

True

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