To make it much easier, it should be converted to the slope-intercept form
y = mx + b
To do so, 14x + 34y = 1 turns to:
34y = -14x + 1
Divide both sides by 34:
[tex] \frac{34y}{34} = \frac{-14}{34} x + \frac{1}{34} [/tex]
Simplified:
[tex] y = \frac{-7}{17} x + \frac{1}{34}[/tex]
Answer: [tex] y = -\frac{7}{17} x + \frac{1}{34}[/tex]
Here is the graph:
