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Find the y-intercept (b) of the ordered pairs (-2,8) (0,0) (1,-4) (3,-12) (5,-20)

 Dec 18, 2016
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We don't need ALL of these ordered pairs to get the slope....

let's just use the first two

y=mx+b   is the equation of a line where  m= slope   and b = y-intercept

 

slope = m = (y2-y1)/(x2-x1) = (0-8)/(0-(-2)) = -4   slope

 

y=mx+b     reults in   y = -4x + b     if we sub in a point  (-2,8)   we will find b=0  which is the y-intercept

 

 

so your equation of the line becomes    just  y= - 4x       You can substitute in the other ordered pairs to see if they 'fit' (they do)

 

 

 

D'oh!  I just looked at this again.....one of the ordered pairs is 0,0   <------ obviously this is the y-intercept ! (AND the x-intercept)......   Sorry for making this more complicated than it needed to be....

 Dec 18, 2016
edited by ElectricPavlov  Dec 18, 2016
edited by ElectricPavlov  Dec 18, 2016

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