vasquezdenise18
vasquezdenise18 vasquezdenise18
  • 27-06-2016
  • Mathematics
contestada

Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB?

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blahblahmali blahblahmali
  • 02-07-2018
the graph equation is in the form y = mx + c
we need to find m - gradient and c - intercept of the graph 
since we have been given 2 points we know the x and y coordinates of these 2 points
point A , x = 0 and y = -4
point B , x = 6 and y = 2
substituting these x and y values in y = mx + c form
-4 = m*0 + c
-4  = c
then intercept is -4
substituting x and y in point B 
2 = m * 6 + c
since c = -4
2 = 6m - 4
6m = 6
m = 1

since we know m=1 and c = -4
the equation for line AB is 
y = 1*x - 4
y  = x - 4
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