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"Given the topic is ""Point Slope Equation of a Line,"" which of the following formulas represents the point-slope equation of a line?

A) y = mx + b
B) E = mc^2
C) A = πr^2
D) F = ma"

1 Answer

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Final answer:

None of the given options represents the point-slope equation of a line. However, option A (y = mx + b) is the slope-intercept form of the equation, which can be related to the point-slope equation if a specific point is known.

Step-by-step explanation:

The point-slope equation of a line is given by y - y1 = m(x - x1), where (x1, y1) are the coordinates of a specific point on the line, and m is the slope of the line. Out of the options provided, none directly represent the point-slope form. However, option A, y = mx + b, represents the slope-intercept form where m is the slope and b is the y-intercept. It is related to the point-slope form but differs in that it specifies the y-intercept directly, where b is equivalent to y when x = 0. To derive the point-slope form from the slope-intercept form, if you have a specific point (x1, y1), you can write y - y1 = m(x - x1).

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