Answer:
![y= (3)/(2)x](https://img.qammunity.org/2022/formulas/mathematics/college/w2ms3tkwnno53qkuwlx6g1u7w2v86d2coo.png)
Explanation:
We first convert the equation into slope-intercept form.
is converted to
![y=-(2)/(3) x+2](https://img.qammunity.org/2022/formulas/mathematics/college/iksbhtgkb44zkkjmlbrdctbz98gv2c8ssc.png)
The slope of this line is
. The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal.
The perpendicular slope is
![(3)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mnscco4nc1evl769d3cq30sp05j8za9ox9.png)
Plug the new slope and the given point into the slope-intercept form to find the y-intercept.
![y= (3)/(2)x](https://img.qammunity.org/2022/formulas/mathematics/college/w2ms3tkwnno53qkuwlx6g1u7w2v86d2coo.png)