The equation of the line written in slope intercept form is 0.8333x + 24
From the question given :
General form of a slope intercept equation :
b = slope = (y2 - y1) / (x2 - x1)
Slope = (-1 - 14) / (6 - (-12)) = - 15 / 18 = 0.8333
The intercept, c can be obtained thus :
14 = 0.8333(-12) + c
14 = - 10 + c
14 + 10 = c
c = 24
Therefore, the equation can expressed thus y = 0.8333x + 24
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