Chapter 5.3, Problem 41P

Find the slope and the $y$-intercept of the graph of each equation.

$2y+6a-4x=0$

To determine

The slope and the y- intercept of the graph of this equation

  $2y+6a-4x=0$

Answer to Problem 41P

The slope and the y- intercept of the graph of this equation $2y+6a-4x=0$

are: the slope $m=2$ and intercept $b=-3a$

Explanation of Solution

Given information:

The slope and the y- intercept of the graph of this equation

  $2y+6a-4x=0$

Calculation:

To find the slope and the y- intercept of the graph of this equation

  $2y+6a-4x=0$

We write the equation is general form as

  $\begin{array}{l}2y+6a-4x=0\\ \Rightarrow y=\frac{4}{2}x-\frac{6a}{2}\\ \Rightarrow y=2x-3a\end{array}$

Comparing the equation of slope and intercept form of an equation $y=mx+b$

Where $m$ is the slope and $b$ is the intercept.

Therefore the required slope $m=2$ and intercept $b=-3a$ .