# How do you find the slope given #6x-7y=14#?

##### 1 Answer

Jul 12, 2016

slope

#### Explanation:

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'.

Rearranging 6x - 7y = 14 into this form will allow us to extract m.

Subtract 6x from both sides of the equation.

#rArrcancel(6x)-7ycancel(-6x)=14-6xrArr-7y=-6x+14# divide terms on both sides by - 7

#(cancel(-7) y)/cancel(-7)=(-6)/(-7) x+14/(-7)rArry=6/7x-2# Thus slope

#=6/7#