Write equation in standard form. through (3,5) and (-5,1)?

Let (x, y) be a point of the straight line.

Slope of the line :
(y - 5)/(x - 3) = (5 - 1) / (3 + 5)
(y - 5)/(x - 3) = 1/2
x - 3 = 2(y - 5)
x - 3 = 2y - 10
x - 2y + 7 = 0

The equation of the line is : x - 2y + 7 = 0

m = - 4 / - 8 = 1 / 2
y - 5 = (1/2) [ x - 3 ]
y = x/2 - 3/2 + 10/2
y = x/2 + 7/2