Final answer:
The equation of the line is y = -4x + 14. The slope of the line passing through the points (1, 6) and (2, 14) is 8.
Step-by-step explanation:
To write the equation of the line, we use the point-slope form of a linear equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point. Substituting the values, we get: y - 6 = -4(x - 2). Simplifying this equation gives us the final answer: y = -4x + 14.
To find the slope of a line passing through two points, we use the slope formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the values, we get: m = (14 - 6) / (2 - 1) = 8 / 1 = 8.
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