The graph of y=5-7x does not pass through which quadrant?

Graph $y = 5 - 7 x$ does not pass through III quadrant.
The equation is in slope intercept form and intercept on $y$ axis is $5$ and positive hence it pases through I and II quadrants. As the slope of line is $- 7$ and hence it makes an intercept on $x$ axis on positive side (also putting $y = 0$ gives intercept on $x$ axis as $\frac{5}{7}$ which is positive).
Hence graph $y = 5 - 7 x$ does not pass through III quadrant.