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Answer :
The equation that represents the graphed function passing through (0,3) and (1,1) is y = -2x + 3.
To find the equation of the line passing through two given points, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. First, we need to find the slope of the line, which is (y2 - y1) / (x2 - x1), where (x1, y1) = (0,3) and (x2, y2) = (1,1). So, the slope is (1 - 3) / (1 - 0) = -2/1 = -2.
Next, we can plug in the slope and one of the given points into the equation y = mx + b to solve for the y-intercept, b. Using the point (0,3), we get 3 = -2(0) + b, which simplifies to b = 3. Therefore, the equation of the line passing through (0,3) and (1,1) is y = -2x + 3.
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