Question

the equation in point slope form of the line which passes through (-2,3) and is parallel to 3x+2y=10 is

Answer 1

your parallel line.
3x+2y=10
y=(-3/2)+(10/3)

the slope will be the same, the y-intercept will (only) change

y=(-3/2)+b

plug in (-2,3) in the equation (-2 for x and 3 for y) and solve for b, when you get the answer for b,

re-write
y=(-3/2)+b , but plug in the result you get for b, instead of b.