Mathematics
Yasser556
7

What is the possible value of a line that passes through the points (2,2) and between the points (-2,-2) and (-2,-3) WITHOUT touching either of them! 

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(1) Answers
katiebabyyy

First we have to find the midpoint... [latex]M=\frac{(-2+(-2),-2+(-3))}{2}[/latex] [latex]M=\frac{(-4,-5))}{2}[/latex] [latex]\boxed{\boxed{M=(-2,-\frac{5}{2})}}[/latex] now we have to use this formula [latex]m=\frac{\Delta y}{\Delta x}[/latex] [latex]m=\frac{2-(-\frac{5}{2})}{(2-(-2))}[/latex] [latex]m=\frac{\frac{9}{2}}{4}[/latex] [latex]\boxed{\boxed{m=\frac{9}{8}}}[/latex] now we use [latex]y-y_o=m*(x-x_o)[/latex] [latex](x_o,y_o)=(2,2)[/latex] [latex]y-2=\frac{9}{8}*(x-2)[/latex] [latex]y=\frac{9}{8}*x-\frac{9}{4}+2[/latex] [latex]\boxed{\boxed{\boxed{y=\frac{9}{8}*x-\frac{1}{4}}}}[/latex]

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