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Answer:The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.Step-by-step explanation:Let's use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). We are given the slope, (1/2), so let's put that into the equation: y = (1/2)x + b It is the value we choose for b that will make the line pass through point (6,-3). We can determine that value by entering the given point in the equation and then solving for b:y = (1/2)x + b-3 = (1/2)*(6) + b for point (6,-3)-3 = 3 + bb = -6The full equation is thus y = (1/2)x + 6See the attached graph.===The `list of options doesn't have an equation that matches this conclusion. The first two aren't even equations. Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:Original Newy-2x+6 y=2x+6y-1x-6 y=1x-6y=2x-3 y=2x-3y=x+3 y=x+3The slopes are either +1 or +2. None have the required slope of (1/2)
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