Answer:
The equation is y = 3/5x - 6
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
3x - 5y = 7
-5y = -3x + 7
y = 3/5x + 7/-5
This gives us a slope of 3/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - -6 = 3/5(x - 0)
y + 6 = 3/5x
y = 3/5x - 6