Line BC has an equation of a line y = 2x + 3, and line EF has an equation of a line y = 3x + 4. These two equations represent parallel lines because the slopes of the lines are the same perpendicular lines because the product of the slopes is 1 the same line lines that are neither parallel nor perpendicular
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This question is asking to compare the values of the slopes, The equations are in "slope - intercept' form, y = m*x + b where m is the slope: The slope of BC = 2 The slope of EF = 3 these slopes are NOT the same: 2 =/= 3 so they are NOT parallel, The slopes multiplied together, 2*3 = 6 =/= 1 so they are not perpendicular, Since their slopes are not the same, then they can not be the same line, leaving you with the answer, they are neither parallel or perpendicular.
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