Question

Which equation represents a like that passes through (4,1/3) and has a slope of 3/4?

Answer 1

The slope intercept form is y = mx + b
you need to find the equation that has a slope of 3/4 and passes through (4,1/3)

Plug in the given into the equation
y = 3/4x + b
to solve for the y-intercept, plug in the given coordinate that the line passes through

1/3 = 3/4(4) + b
1/3 = 3 + b
subtract 3 from both sides 
-8/3 = b

now back to the slope intercept equation
y = mx + b
plug in the slope and y-intercept
y = 3/4x - 2 2/3
or 
y = 3/4x - 8/3

Hope this helps :)