To put this problem in slope-intercept form, we need to move the coefficient with x in it to the right side of the equation. This can be shown in steps.
1. Subtract 5x on both sides
5x - 19y = 14
→ -19y = 14 - 5x
2. Divide both sides by -19
-19y = 14 - 5x
→ y = 5/19x - 14/19
The slope-intercept form is:
y = 5/19 - 14/19