Mathematics
MarniHawke
8

find an equation of the line that x-intercept 6; y-intercept -6

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(1) Answers
Llama11

The general format for equation of a straight line is: y = mx + c Where m = gradient,  c = y intercept = -6. The point format is (x, y). Note, the x intercept is the value of x, when y = 0.  Therefore, x intercept of 6, means at that point y = 0.  Therefore the point is (6,0). Note, the y intercept is the value of y when x = 0.  Therefore, y intercept of -6, means at that point x = 0.  Therefore the point is (0,-6). Gradient between  (6, 0)  and (0, -6). Gradient, m  = (y2 - y1) / (x2 - x1)  =  (-6 - 0)/(0 - 6) = -6/-6  = 1 Gradient m = 1. y = mx + c  = 1x + (-6) =  x - 6 y = x - 6.  That is the equation of the line

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