Question

Find the slope and y-intercept of line.

4x+6y=36

$4x+6y=36$

Short answer

Slope is$\frac{-2}{3}$and y intercept is$6$.

Step-by-step solution

Step 1. Given information.

Consider the given equation$4x+6y=36$.

Step 2. Using slope intercept form of the equation of line y=mx+b where mis slope and bis y intercept.

Write the equation in $y=mx+b$form.

$$\begin{gathered} 4x+6y=36 \\ 6y=-4x+36 \\ y=\frac{-4}{6}x+\frac{36}{6} \\ y=\frac{-2}{3}x+6 \end{gathered}$$