College Algebra CLEP Prep Practice Exam

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What is the intercept form of the equation 4x - 5y = 12?

4x - 12 = 5y
5y - 12 = 4x
12 = 4x - 5y
12 = 5y - 4x

The correct answer is: 12 = 5y - 4x

The intercept form of a linear equation is written as y=mx + b, where m is the slope and b is the y-intercept. In this equation, we can see that the constant term is on the y side and the x-term has a negative coefficient. To write this in intercept form, we need to transfer the y term to the other side and factor out the x term to get y = 4/5x - (12/5). Therefore, the correct answer is D 12 = 5y - 4x. Option A is incorrect because it has the constant term on the wrong side. Option B is incorrect because it has the slope on the wrong side and the constant term is still on the wrong side. Option C is incorrect because it does not have the correct combination of terms to represent the y intercept, which should be -12/5.