Question

What is the equation of the line that passes through (2, 1) and is perpendicular to the graph of y = –x + 2?

y = x – 1

y = x + 1

y = –x + 3

y = –x + 2

Answer 1

The slope of y = -x+2 is -1

Answer 2

so the slope of any perpendicular line is 1 (flip the fraction, flip the sign)

Answer 3

y = mx + b

y = 1*x + b ... plug in the perpendicular slope

1 = 1*2 + b ... plug in the given point

1 = 2 + b

1 - 2 = b

-1 = b

b = -1

So the equation of the perpendicular line is y = x - 1

Answer 4

thank you!

Answer 5

np