Answer:
[tex]y - 11 = \frac{3}{2}(x -2)[/tex]
Step-by-step explanation:
A perpendicular line is a line whose slope is the negative reciprocal of the other line. The line y = -2/3x + 5 has slope -2/3. This means the line perpendicular will be 3/2.
Substitute 3/2 and (2,11) into the point slope form of a line.
[tex]y - y_1 = m(x-x_1)\\y - 11 = \frac{3}{2}(x -2)\\[/tex]
