Answer:
[tex]y= \frac{3}{2}x[/tex]
Step-by-step explanation:
We first convert the equation into slope-intercept form.
[tex]3x + 2y = 4[/tex] is converted to [tex]y=-\frac{2}{3} x+2[/tex]
The slope of this line is [tex]-\frac{2}{3}[/tex]. The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal.
The perpendicular slope is [tex]\frac{3}{2}[/tex]
Plug the new slope and the given point into the slope-intercept form to find the y-intercept.
[tex]y= \frac{3}{2}x[/tex]
