Answer:
if the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is (56/5) . If the coordinates of point D are (5 , 5), the equation of line CD is y= (-7/5)*x + 12.
Step-by-step explanation:
[tex]y_{AB} = mx + b\\Slope = \frac{7-0}{3-8} = \frac{7}{-5} = \frac{-7}{5} \\y_{AB} = \frac{-7}{5}x + b\\ Plug A(8,0) in (y_{AB})\\0 = (-7/5) * 8 + b\\b = (56/5)\\ So, y-intercept of AB is (56/5).\\Because of AB//CD, so they have a common slope = (-7/5)\\y_{CD} = \frac{-7}{5} + b\\ Plug D(5,5) in (y_{CD}) \\So we have: 5=\frac{-7}{5} * 5 + b\\ So, b = 12\\[/tex]
Thus, the equation of line CD is y= (-7/5)*x + 12
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