SOLUTION: (-7,0) (7,6) Can you explain to me how to find the equation of the line in slope-intercept form and in General form?

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Question 695321: (-7,0) (7,6)
Can you explain to me how to find the equation of the line in slope-intercept form and in General form?

Answer by Ave(106) About Me  (Show Source):
You can put this solution on YOUR website!
First step is always finding the slope
slope+=+%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29 use this formula
%280-6%29%2F%28-7-7%29
-6/-14 simplify
3/7 <- this is your slope
--
now your going to plug in your slope and one of your points into the Point Slope Form:
%28y-y%5B1%5D%29=slope%28x-x%5B1%5D%29
%28y-6%29=%283%2F7%29%28x-7%29 multiply both sides by 7 to get rid of fractions
7y-42=3(x-7)
7y-42=3x-21 add 42 to both sides
7y=3x+21 standard form is ax+by=c so just arrange this around
3x-7y=-21 <- Standard Form
Solve for y to get slope-intercept form
7y=3x+21 divide by 7
y=%283%2F7%29x%2B3 <-Slope-intercept form