Question

What is the equation of the line that passes through (3.-5) and is parallel to 5x - 3y = 15?​

Answer 1

Answer:

y = 5/3x - 10

Step-by-step explanation:

$5x - 3y = 15\\-3y = -5x + 15\\y = 5/3x - 5$

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