Q 27. - Precalculus Enhanced with Graphing Utilities

Question

Find the slope and y-intercept of  line.

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

Step-by-Step Solution

Answer

Slope of the line 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. Using the 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.

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