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Find x if the line through the points (6, x) and (1, -5) has a slope of 2.

Find x if the line through the points (6, x) and (1, -5) has a slope of 2.

Answer

The slope formula is m = (y2 - y1) / (x2 - x1). Here, m = 2, (x1, y1) = (1, -5), and (x2, y2) = (6, x).

Substitute into the formula: 2 = (x - (-5)) / (6 - 1).

Simplify: 2 = (x + 5) / 5.

Multiply both sides by 5: 10 = x + 5.

Subtract 5 from both sides: x = 5.

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