In order to answer this question, I'll have to get that equation
in standard form ===> y = mx + b .
14x + 4y = 24
Subtract 14x from each side: 4y = -14x + 24
Divide each side by 4 : y = -3.5x + 6
There's the standard form we need ==> y = -3.5x + 6
That -3.5 is our slope.
That 6 is our y-intercept.