The slope intercept form of a line is given by y=mx+b so we solve for y:

11x+2y=44

Subtract 11x11x from both sides:

2y=44−11x

Divide both sides by 2:

\(\displaystyle{y}={22}−{\left(\frac{{11}}{{2}}\right)}{x}\)

Arrange:

\(\displaystyle{y}=−{\left(\frac{{11}}{{2}}\right)}{x}+{22}\)

11x+2y=44

Subtract 11x11x from both sides:

2y=44−11x

Divide both sides by 2:

\(\displaystyle{y}={22}−{\left(\frac{{11}}{{2}}\right)}{x}\)

Arrange:

\(\displaystyle{y}=−{\left(\frac{{11}}{{2}}\right)}{x}+{22}\)