Since point \(\purple{M}\) is the midpoint of point \(\blue{A}\) and point \(\green{B}\), we can use the midpoint formula to find the coordinates of point \(\green{B}\). The midpoint formula states that if the coordinates of two points are \((x_1, y_1)\) and \((x_2, y_2)\), then the coordinates of their midpoint are \(\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right)\).
In this case, the coordinates of point \(\purple{M}\) are \((0, -3.5)\) and the coordinates of point \(\blue{A}\) are \((-5, -4)\). Let the coordinates of point \(\green{B}\) be \((x, y)\). Using the midpoint formula, we have:
\[\left(\frac{{-5 + x}}{2}, \frac{{-4 + y}}{2}\right) = (0, -3.5)\]
Simplifying the equation, we get:
\[\frac{{-5 + x}}{2} = 0 \ \ \ \Rightarrow \ \ \ x = 5\]
\[\frac{{-4 + y}}{2} = -3.5 \ \ \ \Rightarrow \ \ \ -4 + y = -7 \ \ \ \Rightarrow \ \ \ y = -3\]
Therefore, the coordinates of point \(\green{B}\) are \((5, -3)\).
Point
\[\blue{A}\] is at
\[\blue{(-5, -4)}\] and point
\[\purple{M}\] is at
\[\purple{(0, -3.5)}\].
Point
\[\purple{M}\] is the midpoint of point
\[\blue{A}\] and point
\[\green{B}\].
What are the coordinates of point
\[\green{B}\]?
3 answers
Point
\[\blue{A}\] is at
\[\blue{(-5, -4)}\] and point
\[\purple{M}\] is at
\[\purple{(0, -3.5)}\].
Point
\[\purple{M}\] is the midpoint of point
\[\blue{A}\] and point
\[\green{B}\].
What are the coordinates of point
\[\green{B}\]?
\[\blue{A}\] is at
\[\blue{(-5, -4)}\] and point
\[\purple{M}\] is at
\[\purple{(0, -3.5)}\].
Point
\[\purple{M}\] is the midpoint of point
\[\blue{A}\] and point
\[\green{B}\].
What are the coordinates of point
\[\green{B}\]?
Since point \(\purple{M}\) is the midpoint of point \(\blue{A}\) and point \(\green{B}\), we can use the midpoint formula to find the coordinates of point \(\green{B}\). The midpoint formula states that if the coordinates of two points are \((x_1, y_1)\) and \((x_2, y_2)\), then the coordinates of their midpoint are \(\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right)\).
In this case, the coordinates of point \(\purple{M}\) are \((0, -3.5)\) and the coordinates of point \(\blue{A}\) are \((-5, -4)\). Let the coordinates of point \(\green{B}\) be \((x, y)\). Using the midpoint formula, we have:
\[ \left(\frac{{-5 + x}}{2}, \frac{{-4 + y}}{2}\right) = (0, -3.5)\]
Simplifying the equation, we get:
\[\frac{{-5 + x}}{2} = 0\]
\[-5 + x = 0\]
\[x = 5\]
\[\frac{{-4 + y}}{2} = -3.5\]
\[-4 + y = -7\]
\[y = -3\]
Therefore, the coordinates of point \(\green{B}\) are \((5, -3)\).
In this case, the coordinates of point \(\purple{M}\) are \((0, -3.5)\) and the coordinates of point \(\blue{A}\) are \((-5, -4)\). Let the coordinates of point \(\green{B}\) be \((x, y)\). Using the midpoint formula, we have:
\[ \left(\frac{{-5 + x}}{2}, \frac{{-4 + y}}{2}\right) = (0, -3.5)\]
Simplifying the equation, we get:
\[\frac{{-5 + x}}{2} = 0\]
\[-5 + x = 0\]
\[x = 5\]
\[\frac{{-4 + y}}{2} = -3.5\]
\[-4 + y = -7\]
\[y = -3\]
Therefore, the coordinates of point \(\green{B}\) are \((5, -3)\).