SOLUTION: How do I find equations for lines parallel or perpendicular to y = ⅔ x + 2; (6, -3)

Algebra.Com
Question 1085966: How do I find equations for lines parallel or perpendicular to y = ⅔ x + 2; (6, -3)
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
parallel has same slope
use point slope formula y-y1=m(x-x1), m slope, (x1,y1) point
y+3=(2/3)(x-6), watch the sign
y=(2/3(x)-7
------------------
perpendicular lines have the negative reciprocal slope, so negative reciprocal os 2/3 is -3/2
y+3=(-3/2)(x-6)
y+3=-(3/2)x+9
y=(-3/2)x-12
-----------------

The line going through (0,2) is the line given.

RELATED QUESTIONS

Hi, my son just started a new school on Tues. Has an Algebra worksheet that he doesn't... (answered by scott8148)
Tell whether the lines for each pair of equations are Parallel, Perpendicular, or... (answered by robertb)
determin whether each pair of equations represents parallel or perpendicular lines x=-2;... (answered by Boreal)
how do you determine whether the lines are parallel, perpendicular or neither. For 3x - 6 (answered by Alan3354)
Determine if these lines are perpendicular, parallel or neither. How do I solve this... (answered by Alan3354)
Are the following lines parallel, perpendicular, or neither? L1 through (–4, –7) and... (answered by Earlsdon)
for each pair of equations, determine if the lines are parallel, perpendicular, or... (answered by Earlsdon,josmiceli)
Please help me understand how to determine if these pairs of lines are perpendicular... (answered by ikleyn,MathLover1)
Please help me with these problems. 1. Find the equations of the lines through (-2,... (answered by Alan3354)