College Algebra CLEP Prep 2025 – 400 Free Practice Questions to Pass the Exam

Slope is a measure of the steepness of a line. In this case, the given line 4x + 8 = 0 is in the form y = mx + b where m is the slope. Therefore, the slope of this line is -4.

To find the slope of a line perpendicular to this one, we use the fact that perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the given line has a slope of m, the perpendicular line will have a slope of -1/m.

So, in this case, the perpendicular line will have a slope of -1/(-4), which simplifies to 1/4. Therefore, option D, 1/4, is the correct answer.

Option A, -1/4, is incorrect because it is simply the negative of the