Work Step by Step
To find an equation of a line with slope $m=-3$ that passes through $(-1,4),$ we use the formula $y=mx+b$. We plug in the values of $m$, $y$, and $x$ to solve for $b$: $4=-3(-1)+b$. Solve for $b$: $b+3=4$ $b=1$. Plug the values of $m$ and $b$ into the formula to get the equation of line: $y=-3x+1$.