Question

1. Which of the following coordinates for p will make line mn perpendicular to line op in the diagram below?

a. (-2,-5)
b. (-3,6)
c. (3,2)
d. (3,5)

2. Which equation is the equation of a line that passes through (-10,3) and is perpendicular to y=5x-7?

a. y = 5x + 53
b. y = -1/5x - 7
c. y = -1/5x + 1
d. y = 1/5x + 5

Answer 1

1. (3,2)....because when finding the slope, we find the the slope of mn and the slope of op are negative reciprocals.

2. y = 5x - 7.....slope here is 5....perpendicular line has a negative reciprocal slope...so the slope has to be -1/5

y= mx + b
slope(m) = -1/5
(-10,3)...x = -10 and y = 3
now we sub and find b, the y int
3 = -1/5(-10) + b
3 = 2 + b
3 - 2= b
1 = b
so ur perpendicular equation is : y = -1/5x + 1