College Algebra CLEP Prep Practice Exam

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Which of these is the equation of the line 3x + 5y = 15

y = 3x + 15
3x + 5y - 15 = 0
y = 3x - 15
y = -3x + 15

The correct answer is: y = -3x + 15

Option A is incorrect because the constant term is on the wrong side of the equation. In the given equation, 3x and 5y are on the left side, while 15 is on the right side. This means that y cannot be equal to 3x + 15. Option B is incorrect because the equation is not in slope-intercept form, which is y = mx + b. In the given equation, m (slope) is -3/5 and b (y-intercept) is 3. Option C is incorrect because the slope is positive (+3) instead of negative (-3). In the given equation, the coefficient of x is positive (+3), so the slope is positive. The correct option, D, is the only one that follows the slope-intercept form and has the correct slope and y-intercept values based on the given equation. Thus