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.