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

##### 1 Answer

Aug 31, 2016

slope = 4

#### Explanation:

We have to know that

#color(blue)"parallel lines have equal slopes"# The equation of a line in

#color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(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 +2is in this form.and by comparison with the slope-intercept form.

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