# How do you find the slope of a line parallel to graph of this equation y=4x+2?

Aug 31, 2016

slope = 4

#### Explanation:

We have to know that $\textcolor{b l u e}{\text{parallel lines have equal slopes}}$

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

The advantage to having the equation in this form is that m and b, may be extracted 'easily'.

The equation here y = 4x +2 is in this form.

and by comparison with the slope-intercept form.

slope = 4 and so slope of parallel line is also 4.