Find the equation of the line?

Question

Its parallel to y=1/3x and goes thru points (5,3).

Answer 1

Slope intercept form line equation is y = mx + b, m is slope and b is y-intercept.
Slope of the line = 1/3
the lines are parallel so slopes are same.
the line equation is y=1/3x+b
find the y-intercept by replacing (x,y) with (5,3) int he line equation.
3 = 1/3 * 5 + b
3 =5/3 + b

b = 3 - 5/3 =( 9-5)/3 = 4/3
the line equation is y = 1/3x + 4/3