7.3 - A. Check Up Solution
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7.3 - A. Check Up Solution
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Determine an equation in slope-point form for each relation represented below.
The graph of Relation 1 has a slope of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨16px¨»«mo mathcolor=¨#B94A48¨»-«/mo»«mfrac mathcolor=¨#B94A48¨»«mn»4«/mn»«mn»3«/mn»«/mfrac»«/mstyle»«/math» and passes through the points (−5,7),
(−2,3), (1,−1), (4,−5), and (7,−9). Any of these points could be entered into the
slope-point equation. The equation shown uses (−5,7).
The graph of Relation 2 has a slope of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨16px¨»«mfrac mathcolor=¨#B94A48¨»«mn»3«/mn»«mn»5«/mn»«/mfrac»«/mstyle»«/math» and passes through the points (−6,−7), (−1,−4), (4,−1), and (9,2). Again, any of these points could be entered into the slope-point equation. The equation shown uses (−6,−7).
«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨16px¨»«mrow»«mi mathcolor=¨#B94A48¨»y«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«msub mathcolor=¨#B94A48¨»«mi mathcolor=¨#B94A48¨»y«/mi»«mn»1«/mn»«/msub»«mo mathcolor=¨#B94A48¨»=«/mo»«mi mathcolor=¨#B94A48¨»m«/mi»«mo mathcolor=¨#B94A48¨»(«/mo»«mi mathcolor=¨#B94A48¨»x«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«msub mathcolor=¨#B94A48¨»«mi mathcolor=¨#B94A48¨»x«/mi»«mn»1«/mn»«/msub»«mo mathcolor=¨#B94A48¨»)«/mo»«mspace linebreak=¨newline¨»«/mspace»«mi mathcolor=¨#B94A48¨»y«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«mn mathcolor=¨#B94A48¨»7«/mn»«mo mathcolor=¨#B94A48¨»=«/mo»«mo mathcolor=¨#B94A48¨»-«/mo»«mfrac mathcolor=¨#B94A48¨»«mn»4«/mn»«mn»3«/mn»«/mfrac»«mo mathcolor=¨#B94A48¨»(«/mo»«mi mathcolor=¨#B94A48¨»x«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«mo mathcolor=¨#B94A48¨»(«/mo»«mo mathcolor=¨#B94A48¨»-«/mo»«mn mathcolor=¨#B94A48¨»5«/mn»«mo mathcolor=¨#B94A48¨»)«/mo»«mo mathcolor=¨#B94A48¨»)«/mo»«mspace linebreak=¨newline¨»«/mspace»«mi mathcolor=¨#B94A48¨»y«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«mn mathcolor=¨#B94A48¨»7«/mn»«mo mathcolor=¨#B94A48¨»=«/mo»«mo mathcolor=¨#B94A48¨»-«/mo»«mfrac mathcolor=¨#B94A48¨»«mn»4«/mn»«mn»3«/mn»«/mfrac»«mo mathcolor=¨#B94A48¨»(«/mo»«mi mathcolor=¨#B94A48¨»x«/mi»«mo mathcolor=¨#B94A48¨»+«/mo»«mn mathcolor=¨#B94A48¨»5«/mn»«mo mathcolor=¨#B94A48¨»)«/mo»«/mrow»«/mstyle»«/math»
The graph of Relation 2 has a slope of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨16px¨»«mfrac mathcolor=¨#B94A48¨»«mn»3«/mn»«mn»5«/mn»«/mfrac»«/mstyle»«/math» and passes through the points (−6,−7), (−1,−4), (4,−1), and (9,2). Again, any of these points could be entered into the slope-point equation. The equation shown uses (−6,−7).
«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨16px¨»«mi mathcolor=¨#B94A48¨»y«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«msub mathcolor=¨#B94A48¨»«mi mathcolor=¨#B94A48¨»y«/mi»«mn»1«/mn»«/msub»«mo mathcolor=¨#B94A48¨»=«/mo»«mi mathcolor=¨#B94A48¨»m«/mi»«mo mathcolor=¨#B94A48¨»(«/mo»«mi mathcolor=¨#B94A48¨»x«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«msub mathcolor=¨#B94A48¨»«mi mathcolor=¨#B94A48¨»x«/mi»«mn»1«/mn»«/msub»«mo mathcolor=¨#B94A48¨»)«/mo»«mspace linebreak=¨newline¨»«/mspace»«mi mathcolor=¨#B94A48¨»y«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«mo mathcolor=¨#B94A48¨»(«/mo»«mo mathcolor=¨#B94A48¨»-«/mo»«mn mathcolor=¨#B94A48¨»7«/mn»«mo mathcolor=¨#B94A48¨»)«/mo»«mo mathcolor=¨#B94A48¨»=«/mo»«mfrac mathcolor=¨#B94A48¨»«mn»3«/mn»«mn»5«/mn»«/mfrac»«mo mathcolor=¨#B94A48¨»(«/mo»«mi mathcolor=¨#B94A48¨»x«/mi»«mo mathcolor=¨#B94A48¨»-«/mo»«mo mathcolor=¨#B94A48¨»(«/mo»«mo mathcolor=¨#B94A48¨»-«/mo»«mn mathcolor=¨#B94A48¨»6«/mn»«mo mathcolor=¨#B94A48¨»)«/mo»«mo mathcolor=¨#B94A48¨»)«/mo»«mspace linebreak=¨newline¨»«/mspace»«mi mathcolor=¨#B94A48¨»y«/mi»«mo mathcolor=¨#B94A48¨»+«/mo»«mn mathcolor=¨#B94A48¨»7«/mn»«mo mathcolor=¨#B94A48¨»=«/mo»«mfrac mathcolor=¨#B94A48¨»«mn»3«/mn»«mn»5«/mn»«/mfrac»«mo mathcolor=¨#B94A48¨»(«/mo»«mi mathcolor=¨#B94A48¨»x«/mi»«mo mathcolor=¨#B94A48¨»+«/mo»«mn mathcolor=¨#B94A48¨»6«/mn»«mo mathcolor=¨#B94A48¨»)«/mo»«/mstyle»«/math»