Determine whether the three points A(-2,-1), B(0,4) and C(2,9) all line on the same line.
1 answer:
All three of them do exist on the line y = 2.5x + 4 In order to find the answer to this question, start by finding the line for two points. For this example, we'll use A and C. First we need to find the slope. (y1 - y2)/(x1 - x2) (9 - -1)/(2 - -2) (9 + 1)/(2 + 2) 10/4 2.5 Now using slope intercept form and point A, we can determine the intercept of that line as well. y = mx + b -1 = 2.5(-2) + b -1 = -5 + b 4 = b So now we know A and C form the line y = 2.5x + 4. We can then check if B fits that line. y = 2.5x + 4 4 = 2.5(0) + 4 4 = 0 + 4 4 = 4 (TRUE) Therefore, it also falls on that line.
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