Answer:
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Explanation:
To find the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line and the y-intercept.
The slope of a line is given by the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two given points, we get:
m = (-2 - 2) / (3 - 9) = -4 / -6 = 2/3
The y-intercept is the point at which the line crosses the y-axis. In this case, the y-intercept is (0, -2), so b = -2.
Substituting these values into the slope-intercept form, we get:
y = (2/3)x + (-2)
So the equation of the line that passes through the points (9, 2) and (3, -2) is:
y = (2/3)x - 2