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What is the equation of the line that passes through these points: (-6, -13) and (6, -1)

 

m  = (y2 - y1) / (x2 - x1)  =  (-1 -13) / (6 - -6) =  -14 / 12 = -7/6

 

y - 13 = (-7 / 6) ( x - -6)

y + 13 + ( -7 /6) ( x - -6)

I'm not sure where to go after this point.....

 Oct 31, 2014

Best Answer 

 #1
avatar+130511 
+8

You have the slope a little incorrect ...we have   (-13 - -1) /(-6-6) = (-13 +1) /(-12)  = -12/-12  = 1....whew!!! that makes things easier !!!  so we have.......

y - (-13) = (1) ( x - (-6))    simplify

y + 13 = x + 6        subtract 13 from both sides

y = x + 6 - 13      simplify

y = x - 7     that's slope-intercept form   .........add 7 to both sides and subtract y from both sides

7 = x - y  →    x - y = 7     and that's standard form

Hope that helps.....BTW.....you can "plug" in the points to make sure the equation is correct....I think you will find it is....

 

 Oct 31, 2014
 #1
avatar+130511 
+8
Best Answer

You have the slope a little incorrect ...we have   (-13 - -1) /(-6-6) = (-13 +1) /(-12)  = -12/-12  = 1....whew!!! that makes things easier !!!  so we have.......

y - (-13) = (1) ( x - (-6))    simplify

y + 13 = x + 6        subtract 13 from both sides

y = x + 6 - 13      simplify

y = x - 7     that's slope-intercept form   .........add 7 to both sides and subtract y from both sides

7 = x - y  →    x - y = 7     and that's standard form

Hope that helps.....BTW.....you can "plug" in the points to make sure the equation is correct....I think you will find it is....

 

CPhill Oct 31, 2014

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