SOLUTION: Write the slope-intercept equation for the line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 Please show all of your work.

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept equation for the line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 Please show all of your work.      Log On


   

Question 409825: Write the slope-intercept equation for the line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 Please show all of your work.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

line that passes through (-2, 3) and is perpendicular to 2x – 9y = -12 

 



2x – 9y = -12 OR y = (2/9)x + 12/9  |slope m = 2/9.  

perpendicular lines have slopes that are neagtive reciprocals of one another

New Line: m = -9/2   |Note: 2/9*-9/2 = -1

 y = (-9/2)x + b   |using ordered pair Pt(-2,3) to solve for b

 3 = 9 + b

 -6 = b 

  y = (-9/2)x -6  |written in slope-intercept form