Question

Which of the following equations represents a line that is perpendicular to

y --4x+9 and passes through the point, (4,5)?
A. y=1/4x+5
B. y=-4x+4
C. y=1/4x+4
D. y=1/4+6

Answer 1

C. y=1/4x+4

Step-buy-step explanation:

y = -4x + 9

slope = m = -4

slope of perpendicular lines: m1 + m2 = -1

so the new slope will be 1/4

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 5 = 1/4 ( x - 4)

y = 1/4x -1 +5

y = 1/4x +4