Question

Consider the line -4x + 5y = 1. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? a. Perpendicular slope = 4/5, Parallel slope = 5/4 b. Perpendicular slope = -5/4, Parallel slope = 4/5 c. Perpendicular slope = -4/5, Parallel slope = -5/4 d. Perpendicular slope = 5/4, Parallel slope = -4/5

Answer 1

The slope of a line perpendicular to -4x + 5y = 1 is -5/4, and the slope of a line parallel to it is 4/5.

Step-by-step explanation:

To find the slope of a line perpendicular to -4x + 5y = 1, we need to determine the slope of the given line first. We can rewrite the equation in slope-intercept form, y = mx + b, by isolating the y variable. In this case, the slope is 4/5. The slope of a line perpendicular to the given line is the negative reciprocal of 4/5, which is -5/4.

To find the slope of a line parallel to -4x + 5y = 1, we use the fact that parallel lines have the same slope. The slope of the given line is 4/5, so the slope of a line parallel to it is also 4/5.

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