SOLUTION: demonstrate how to write an equation(3,-2) and perpendicular to the line y=3x-4

Algebra ->  Linear-equations -> SOLUTION: demonstrate how to write an equation(3,-2) and perpendicular to the line y=3x-4      Log On


   

Question 409709: demonstrate how to write an equation(3,-2) and perpendicular to the line y=3x-4
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

line that passes through (3, -2) and is perpendicular to y=3x-4 



y=3x-4    |slope m = 3  

perpendicular lines have slopes that are neagtive reciprocals of one another

New Line: m = -1/3   |Note: 3*-1/3 = -1

 y = (-1/3)x + b   |using ordered pair Pt(3,-2) to solve for b

-2 = -1 + b

 -1 = b 

 y = (-1/3)x - 1 |written in slope-intercept form