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Sagot :
hello
we're required to find the second end point from the given values
end point = (5, 0)
mid point = (1, -1)
to solve this problem, we'll need to use thw formula for mid-point
[tex]x,y=\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}[/tex]now let's identify our variables
[tex]\begin{gathered} x=1,y=-1, \\ x_1=5,y_1=0 \\ x_2=\text{ ?} \\ y_2=\text{ ?} \end{gathered}[/tex]let's substitute in our values and solve respectively
[tex]\begin{gathered} x=\frac{x_2+x_1}{2} \\ 1=\frac{x_2+5}{2} \\ \text{cross multiply both sides} \\ 1\times2=x_2+5 \\ 2=x_2+5 \\ x_2=2-5 \\ x_2=-3 \end{gathered}[/tex]now let's do the same for y
[tex]\begin{gathered} y=\frac{y_2+y_1}{2} \\ -1=\frac{y_2+0}{2} \\ \text{cross multiply both sides} \\ 2\times-1=y_2+0_{} \\ -2=y_2 \\ y_2=-2 \end{gathered}[/tex]the values of the other end point are (-3, -2)
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