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7. Line MN is dilated by a scale factor of 2 centered at the point (0,6). If MN is represented by y=-3x +6 , which equation can represent M'N', the image of MN ? (1) y=-3x+12 (2) y=-3x + 6 (3) y = -6x +12 (4) y = -6x + 6
7. Line MN is dilated by a scale factor of 2 centered at the point (0,6). If MN is represented by y=-3x +6 , which equation can represent M'N', the image of MN ? (1) y=-3x+12 (2) y=-3x + 6 (3) y = -6x +12 (4) y = -6x + 6
Theequationthat represents M'N' is y = -3x + 6.When a line isdilatedby a scalefactorof 2 centered at the point (0,6), the new line will have the same slope but the y-intercept will change.Given that theequationof the line MN is y = -3x + 6, the slope remains the same, which is -3.The center ofdilationis (0,6), so any point on the original line that has a y-coordinate of 6 will remain the same afterdilation.Let'ssubstitutethe coordinates of point M (x = 0, y = 6) into the equation:y = -3x + 66 = -3(0) + 66 = 6The y-coordinate remains unchanged, indicating that the line M'N' will alsopassthrough the point (0,6).Therefore, theequationthat represents M'N' is y = -3x + 6.Learn more aboutScale Factorhere:brainly.com/question/29464385#SPJ4...