Q 26. - Precalculus Enhanced with Graphing Utilities

Question

Find the slope and y-intercept of  line.

4x+6y=36

$4x+6y=36$

Step-by-Step Solution

Answer

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

Step 1. Given information.

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

Step 2. Using slope intercept form of the equation of line y = m x + b where m is slope and b is y intercept.

Write the equation in $y=mx+b$ form.

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