You can put this solution on YOUR website! To find the slope of
12x - 3y = 10 (which is in standard form Ax + By = C)
you find m = -A/B = -12/-3 = 4
Then use y = mx + b to find b...like this
3 = 4(-5) + b
3 = -20 + b
b = 23
so that your line is
y = 4x + 23