Question

Graph using intercepts -2x+3y=6

Answer 1

to find the \(y\) intercept, put \(x=0\) and solve for \(y\)
you get \[3y=6\iff y=2\] so the \(y\) intercept is \((0,2)\)
for the \(x\) intercept, put \(y=0\) and solve
\[-2x=6\]

Answer 2

divide by 6, then divide off the coeffs: the under parts define the intercepts .. its called the intercept form

Answer 3

\[-2x+3y=6\]
\[\frac{-2x}{6}+\frac{3y}{6}=1\]
\[\frac{x}{-6/2}+\frac{y}{6/3}=1\]