We can solve this problem by using Two Point Form which is
[tex] y- y_{1}=( \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} })(x- x_{1}) [/tex]
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.
[tex]y-3=( \frac{7-3}{-5-0})(x-0) [/tex]
[tex]y-3= \frac{4}{-5} x[/tex]
-5y - 3 = 4x
4x + 5y = -3 is the equation of the line in standard form
