Question

Use slopes to determine if the lines y= x/9 +6 and -9x-y=-4 are perpendicular.

Select the correct answer below:
a. Perpendicular
b. Not Perpendicular

Answer 1

To determine if two lines are perpendicular, we can compare their slopes. In this case, the lines y = x/9 + 6 and -9x - y = -4 are perpendicular because the product of their slopes is -1.

Step-by-step explanation:

To determine if the lines y = x/9 + 6 and -9x - y = -4 are perpendicular, we can compare their slopes. The slope of the first line, y = x/9 + 6, is 1/9. The slope of the second line, -9x - y = -4, can be found by rearranging the equation to y = -9x + 4. So, the slope of the second line is -9.

Since the product of the slopes (-9)(1/9) is -1, which is the negative reciprocal, the lines are perpendicular.

Therefore, the correct answer is: a. Perpendicular.