Question 56715
Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4.
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.
Perpendicular lines have slopes that are negative reciprocals of each other, so turn the slope upside down and change its sign.
Our new line has a slope, m=-3/2 and a y-intercept,b=3.  Plug those values into your slope intercept form of a line and you have:
{{{highlight(y=(-3/2)x+3)}}}
Happy Calculating!!!