What is the x-intercept of the line containing the points (–6, 10) and (12, –2)?

The slope through the points is (−2 − 10) / (12 − (−6)) = −12/18 = −2/3. Using (−6, 10), the line is y − 10 = (−2/3)(x + 6), which simplifies to y = 6 − (2/3)x. At the x-intercept, y = 0, so 0 = 6 − (2/3)x gives x = 9. The x-intercept is 9, choice D.

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