College Algebra CLEP Prep Practice Exam

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What is the equation of the slope y = 5/3x - 2 in point-slope form?

y = 5/3x - 5
y = 3/5x - 2
y - 2 = 5/3(x - 2)
y - 2 = 3/5(x - 2)

The correct answer is: y - 2 = 5/3(x - 2)

Point-slope form is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In the given equation, the slope is 5/3 and the point (x1, y1) is (0, -2). Therefore, the point-slope form for this equation would be: y - (-2) = 5/3(x - 0). This simplifies to y + 2 = 5/3x. Option A is incorrect because the constant term should be the y-coordinate of the given point, which is -2 and not -5. Option B is incorrect because the slope in point-slope form should be written as m and not the reciprocal (1/m). Option D is incorrect because