We can solve this problem by using Two Point Form which is
The given in this problem are points (-5,7) and y-intercept 3 or (0,3).
We will let (x1,y1) as (0,3) and (x2,y2) as (-5,7).
We will just substitute this two points in the formula above.
-5y - 3 = 4x
4x + 5y = -3 is the equation of the line in standard form