2x - 3y = -6
Solve for y:
-3y= -6-2x
y= (-2x-6) /-3
y= 2/3x+2
Slope intercept form:
y= mx+b
Where:
m= slope (2/3)
b= y-intercept (2)
So, to graph the function, we have to draw a line that crosses the y axis at 2, and for every 3 units moved to the right along the x-axis it goes up 2 units along the y-axis.