Question 62549
         
FIND AN EQUATION FOR THE LINE WITH y-INTERCEPT 3 THAT IS PERPENDICULAR TO THE LINE Y= 2/3x-4.
Perpendicular lines have slopes that are negative reciprocals of each other.  That's a fancy word for opposite singed and upside down.
The slope intercept form of a line is {{{highlight(y=mx+b)}}}, where m=slope and b=y-intercept.
:
The line they gave you has a slope of, {{{y=highlight(2/3)x-4}}}, m=2/3.
Any line pependicular to this one is going to have a slope of m=-3/2.  
They told you that they wanted this line to have a y-intercept of b=3.  
Plug these values into the slope intercept form and you have:
{{{highlight(y=(-3/2)x+3)}}}
Happy Calculating!!!