point L is located at (4,-3) and M is located at (-8,5). find the y value of the point that lies halfway between L and M. A)1.5 b)4 c)3.5 d)1
please help..
Do you know the midpoint formula?
\(\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ L&({\color{red}{ 4}}\quad ,&{\color{blue}{ -8}})\quad M&({\color{red}{ -3}}\quad ,&{\color{blue}{ 5}}) \end{array}\qquad \left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)
yes isnt it m(Xa-Xb/2), (Ya-Yb/2)
hmm,m welll ahemm ok so got the values off =) anyhow \(\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ L&({\color{red}{ 4}}\quad ,&{\color{blue}{ -3}})\quad M&({\color{red}{ -8}}\quad ,&{\color{blue}{ 5}}) \end{array}\qquad \left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)
yes you plug it in... but how does it match any of the answer choices?
Yes it is; just use your coordinates they gave you and find y. You'll get it if you already know the formula! Good for you!
Your y coordinate is one of the choices they gave you. The first coordinate in the parenthesis is the x coordinate and the second coordinate is the y. They want you to identify y, even though using that formula you will also identify x.
so would it be 3.5?
Um...no. Let's do it together.\[(\frac{ -8+(-4) }{ 2 },\frac{ 5+3 }{ 2 })\]That gives us\[(\frac{ -12 }{ 2 },\frac{ 8 }{ 2 })\]Dividing that out we get x is -6 and y is 4. See? Choice B is 4.
ooo ok sorry i get it i typed something wrong in my calculator. thank you so much! i understand now
You're welcome!! Thanks for the medal!!!
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