Slope intercept form: y = mx + b
m = slope
b = y-intercept
We are given the slope of 5/3.
We can solve the y-intercept by using the given slope and coordinate:
y = 5/3x + b
5 = 5/3(6) + b
5 = 10 + b
5 - 10 = 10 - 10 + b
-5 = b
Put this into the final equation:
y = 5/3x - 5
Best of Luck!