# How do you find the slope of a line parallel to the graph of each equation y=1/2x+2.3?

Jun 29, 2018

See a solution process below:

#### Explanation:

This equation is in slope intercept form. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

$y = \textcolor{red}{\frac{1}{2}} x + \textcolor{b l u e}{2.3}$

Therefore, the slope of the line in the problem is: $\textcolor{red}{m = \frac{1}{2}}$

Two parallel line, by definition, will have the same slope

Therefore, the slope of any line parallel to the line in the problem is also:

$\textcolor{red}{m = \frac{1}{2}}$

Jun 29, 2018

$\text{slope } = \frac{1}{2}$

#### Explanation:

• " Parallel lines have equal slopes"

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = \frac{1}{2} x + 2.3 \text{ is in this form}$

$\text{with slope } = \frac{1}{2}$

$\text{slope of parallel line } = \frac{1}{2}$