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The equation of the line written in slope intercept form is 0.8333x + 24

From the question given :

  • x1 = - 12 ; y1 = 14 ; x2 = 6 ; y2 = - 1

General form of a slope intercept equation :

  • y = bx + c

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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