how do you graph y = 3/5x + 6

This equation is known as the slope intercept equation, usually written as y = mx + b, that represents straight lines on a graph. The value of m = 3/5 and represents the slope of the line or the angle at which the line is drawn, while the value of b = 6 means the line crosses the y axis when x=0.

To prove the intercept, start by setting x = 0: (3/5)0 + 6 = 6

That's your first graph point: x = 0, y = 6 or (0,6) as it's usually written.

The fractional m value of 3/5 makes the rest of the graphing easy. Every time x goes up by 5 (denominator value,) y goes up by 3 (numerator value.) So starting from our first point, your next graph points would be:

(x,y)
(5,9)
(10,12)
(15,15)
(20,18)

Graph those points and you should see a straight line.