What is the equation of the line that passes through (9,12) and is perpendicular to the line whose equation is y=1/3x 6?
Mathematics
Sadesitanytoni
Question
What is the equation of the line that passes through (9,12) and is perpendicular to the line whose equation is y=1/3x 6?
1 Answer

1. User Answers texaschic101
y = 1/3x ? 6....slope here is 1/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of 3 (see how I flipped 1/3 and changed the sign)
y = mx + b
slope(m) = 3
(9,12)...x = 9 and y = 12
now we sub and find b, the y int
12 = 3(9) + b
12 = 27 + b
12  27 = b
15 = b
so ur perpendicular equation is : y = 3x  15