Subtract 14x from both sides. Then divide both sides by 19
[tex]14x + 19y = 20\\\\19y = 20-14x\\\\19y = -14x+20\\\\y = \frac{-14x+20}{19}\\\\y = \frac{-14x}{19}+\frac{20}{19}\\\\y = -\frac{14}{19}x+\frac{20}{19}\\\\[/tex]
The equation is now in slope intercept form y = mx+b
m = -14/19 is the slope
b = 20/19 is the y intercept
