Hey there!
To start, slope intercept form should be in this form:
y=mx+b
Because your current equation is in ax+by=c form, or standard form, you must get it into y=mx+b form.
Now, subtract 14x from both sides to get the x variable on the other side of x:
11y=-14x+1
Finally, divide both sides by 11 to isolate y to get:
y=-14/11 x+1/11
Therefore, your final answer would be:
y=[tex] \frac{-14}{11} [/tex]x+[tex] \frac{1}{11} [/tex]
