SOLUTION: Given the following equation 6x - 7y = 8 Find the slope of the line.

Algebra ->  Linear-equations -> SOLUTION: Given the following equation 6x - 7y = 8 Find the slope of the line.       Log On


   



Question 82688: Given the following equation
6x - 7y = 8
Find the slope of the line.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x++-++7y++=++8 Start with the given equation

-++7y++=++8-6x Subtract 6x from both sides

y++=++%288-6x%29%2F-7 Divide both sides by -7

y++=++8%2F-7-%286x%29%2F-7 Break up the fraction
y++=++%286%2F7%29x-8%2F7 Rearrange the terms so the x term is first. So the equation is now in y=mx%2Bb form where m=6%2F7 which is the slope and b=-8%2F7 which is the y-intercept. So the slope is 6%2F7