The slope intercept form is always y= mx + b, where m represents the slope or inclination, and b the y intercept ( the point where the line cuts the Y axis)
then first case 10x +y = 3 is rewrited to y= -10x + 3
second case x- 2y =4. Is rewrited to -2y = -x + 4 it means y = -x/-2 + (4/-2)
third case 18 x + 3y = 6. Is rewrited to 3y = -18x + 6. Then y= (-18/3)x + (6/3)