Answer:
y = 5/3x - 10
Step-by-step explanation:
[tex]5x - 3y = 15\\-3y = -5x + 15\\y = 5/3x - 5[/tex]
that means the slope of the new line also has to be 5/3 because parallel lines have the same slope.
put it in point-slope form:
y - -5 = 5/3(x - 3)
y + 5 = 5/3x - 5
y = 5/3x - 10
