That IS the standard form for the equation of a line in the form y = mx +b where m = slope (-1/2) and b is the y-axis intercept (10)...
y = -1/2x+10 multiply both sides by 2
2y = -1x + 20 add 1x to both sides
1x + 2y = 20 this is S.F. [ Ax + By = C ]
Chris is correct on this one....
"Recall that the slope-intercept form of a line is: y = mx + b. To change this into standard form, we start by moving the x-term to the left side of the equation. This is done by subtracting mx from both sides. We now have the equation, -mx + y = b. "
(but the coefficients of x an y must be converted to integers....as Chris did)