Question

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Answer 1

Answer:

C. y - 1 = -4(x - 2)

Step-by-step explanation:

1. To find which line equation doesn't go through through the two points, we plug in the values of x to see if we get the value of the y.

A:

• $y=-4(3)+6$
• $y = -12 + 6$
• $y = -6$ ✓
• $y = -4(1)+6$
• $y = -4 + 6$
• $y = 2$ ✓

B:

• $y+6=-4(3-3)$
• $y + 6 = -4(0)$
• $y + 6 = 0$
• $y + 6 - 6 = 0 - 6$
• $y = -6$ ✓
• $y + 6 = -4(1-3)$
• $y + 6 = -4(-2)$
• $y + 6 = 8$
• $y = 2$ ✓

C:

• $y-1=-4(3-2)$
• $y-1=-4(1)$
• $y-1=-4$
• $y = -3$  ✕

Therefore, the answer is C. y - 1 = -4(x - 2).