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What is the equation of the line passing through the points (6, 20) and (3, 12) in slope-intercept form?

A) y = x - 1
B) y = -2x + 26
C) y = 4x - 4
D) y = 8x - 44

User Rhyono
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1 Answer

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Final answer:

The equation of the line passing through the points (6, 20) and (3, 12) in slope-intercept form is y = (8/3)x - 8.

Step-by-step explanation:

To find the equation of the line passing through the points (6, 20) and (3, 12) in slope-intercept form, we first need to find the slope of the line. The slope can be found using the formula m = (y2 - y1)/(x2 - x1). Plugging in the coordinates, we get m = (12 - 20)/(3 - 6) = -8/-3 = 8/3. Now that we have the slope, we can use the point-slope form of a line to find the equation. The point-slope form is given by y - y1 = m(x - x1). Using one of the given points, say (6, 20), we get y - 20 = (8/3)(x - 6). Simplifying, the equation of the line in slope-intercept form is y = (8/3)x - 8. Therefore, the correct answer is A) y = x - 1.

User Edtruant
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