Answer:
y - 5 = (3/2)(x - 2)
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals of one another.
The slope of 2x + 3y = 5 is found by solving this equation for y:
3y = -2x + 5, or y = (-2/3)x + 5/3.
Thus, the slope of the new line is the negative reciprocal of -2/3, which in turn comes out to 3/2.
Use the point-slope formula y - k = m(x - h):
Substituting the givens, we get y - 5 = (3/2)(x - 2)
