SOLUTION: Determine the slope and y-intercept of the graph of 7x-3y=2.

Algebra ->  Graphs -> SOLUTION: Determine the slope and y-intercept of the graph of 7x-3y=2.      Log On


   

Question 7028: Determine the slope and y-intercept of the graph of 7x-3y=2.
Answer by glabow(165) About Me  (Show Source):
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Since the slope-intercept form of the equation of a line gives you the slope and intercept directly, your job is to rearrange the equation into the form
y+=+mx+%2B+b where m is the slope and b is the y-intercept.
7x-3y=2
-3y=2-7x [subtract 7x from both sides]
y=%282%2F-3%29+-+%287x%2F-3%29 [divide both sides by -3]
y=%287%2F3%29x+-+2%2F3 [rearrange to match slope-intercept form]
slope = 7/3
y-intercept = -2/3