Answer:
y + 3 = (5/2)(x - 2)
Step-by-step explanation:
Take a look at the given line: 2x + 5y = 10. Solving this for y, we get, first,
5y = -2x + 10, or
y = (-2/5)x + 2
Any line perpendicular to this one has a slope which is the negative reciprocal of -2/5. That new slope would be 5/2.
Then the desired new line is y + 3 = (5/2)(x - 2)
