College Algebra CLEP Prep Practice Exam

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What is the equation of a line with a slope of -3 and a y-intercept of 4?

y = -3x + 4
y = 3x + 4
y = -3x - 4
y = 3x - 4

The correct answer is: y = -3x + 4

A line's equation in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. In this equation, b is the constant value of 4, and m is the coefficient of x, which is -3. Therefore, the correct equation would be y = -3x +4. Option B, y = 3x + 4, has a positive slope of 3, which does not match the given slope of -3. Option C, y = -3x - 4, has a negative y-intercept of -4, which also does not match the given y-intercept of 4. Option D, y = 3x - 4, has a positive slope but a negative y-intercept, which does not align with the given values in the problem.