Line mathrm cap A cap b passes through points A negative 6 comma 6 and B 12 comma 3 If the equation of the line is written in slope-intercept form, y is equal to mx plus b , then m is equal to minus 1 sixth What is the value of b ?
Answer
A
minus 5
B
minus 6
C
5
D
6
Explanation
Substitute point B, (12, 3), into y = mx + b using m = -1/6: 3 = (-1/6)(12) + b = -2 + b. Adding 2 gives b = 5, so the correct choice is 5.
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