What is the slope of a line that is perpendicular to the line y = 1/6 x + 4?

-6

To find the slope of the perpendicular line, start with the original slope, 1/6.

The slope of a perpendicular line is the opposite and inverse of the slope of the original line. So, start by finding the inverse. This is done by simply flipping the numerator and the denominator to get 6/1, which is simplified to 6.

Finally, find the opposite of 6. You can find the opposite of a number by multiplying or dividing it by -1. If it is a positive number, just add a negative sign, and if it is already a negative number, take away the negative sign. So, the opposite of 6 is -6, which is out final answer.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°