Question 1066950
1) 6x +7y = 42
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2) 7x = 16 + 6y
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We want the slope-intercept form of each equation, that is, y = mx +b where m is the slope and b is the y intercept
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equation 1)
7y = -6x + 42
y = (-6x/7) + 6
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equation 2)
7x = 16 + 6y
6y = 7x - 16
y = (7x/6) - (16/6)
y = (7x/6) - (8/3)
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The slope for equation 1) is (-6/7) and the slope for equation 2) is (7/6), the slopes are the negative reciprocals of each other
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the lines are perpendicular, here is their graph, equation 1) is red and equation 2) is green
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{{{ graph( 300, 200, -10, 10, -10, 10, y = (-6x/7) + 6, y = (7x/6) - (8/3)) }}}
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