SOLUTION: Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties: g(2) = 9 g(-1) =

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties: g(2) = 9 g(-1) =       Log On


   

Question 774090: Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties:
g(2) = 9
g(-1) = -1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties:
g(2) = 9
g(-1) = -1
find the slope (m1) using the given coordinates
x1=2; y1=9
x2=-1; y2 = -1
m1 = %28-1-9%29%2F%28-1-2%29 = %28-10%29%2F%28-3%29 = +10%2F3
slope of a perpendicular line: m1*m2=-1
10%2F3*m2 = -1
m2 = -3%2F10 is the slope of the line passing through -4, -1
we can use decimal of -.3
using mx-b = y, we know x=-4; and y=-1, find b
-.3(-4) + b = -1
+1.2 + b = -1
b = -1 + 1.2
b = .2
;
the equation: f(x) = -.3x + .2