Q26. - Precalculus Enhanced with Graphing Utilities

Question

 Find the slope and y-intercept of line $4x+6y=36$.

Step-by-Step Solution

Answer

The slope of the equation is $\frac{-2}{3}$and y intercept is $6$.

Step 1. Given information.

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

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

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