College Algebra CLEP Prep Practice Exam

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What is the equation of the line with a slope of -2 and a y-intercept of 3?

y = -2x - 3
y = -2x + 3
y = 2x + 3
y = 2x - 3

The correct answer is: y = -2x + 3

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -2 and the y-intercept is 3. When we substitute these values into the equation, we get y = -2x + 3. Option A has the incorrect slope (-2 instead of -2) and an incorrect y-intercept (-3 instead of +3). Option C has the incorrect slope (2 instead of -2) and the correct y-intercept. Option D has the correct slope and an incorrect y-intercept (-3 instead of +3). Therefore, out of the given options, only option B has both the correct slope and the correct y-intercept. Hence, it is the correct answer.