Q27. - Precalculus Enhanced with Graphing Utilities

Question

Find the slope and $y$ intercept of the given line $\frac{1}{2}x+\frac{5}{2}y=10$.

Step-by-Step Solution

Answer

The slope of the equation is $\frac{-1}{5}$and y intercept is $4$.

Step 1. Given information.

Consider the given equation.

$\frac{1}{2}x+\frac{5}{2}y=10$.

Step 2. Find the slope and y intercept form through the slope intercept equation y = m x + b .

$$\begin{gathered} \frac{1}{2}x+\frac{5}{2}y=10 \\ x+5y=20 \\ 5y=-x+20 \\ y=\frac{-1}{5}x+4 \end{gathered}$$