Answer
standard form
Work Step by Step
The three popular forms of a line's equation are:
Standard Form:
$Ax+By=C$
Slope-intercept Form:
$y=mx+b$
Point-slope Form:
$y-y_1=m(x-x_1)$
Notice that the equation $\frac{1}{2}x+\frac{1}{3}y=5$ is in standard form.