Question

Line segment LN has endpoints L-2, -3) and N(3, 7).Which of the following determine the coordinates of point M located at the midpoint of LN?M= - (³2/2/², 2/³) 3-2 7-3M= =(3+2, 7+³)M = (-2-³, -3-7)M = (¹+³, 32)

Answer 1

To determine the midpoint M of line segment LN, the midpoint formula is applied to the endpoints L(-2, -3) and N(3, 7), resulting in the coordinates for M being (0.5, 2).

Step-by-step explanation:

To find the coordinates of the midpoint M of the line segment LN with endpoints L(-2, -3) and N(3, 7), you would use the midpoint formula, which is given by:

M = \((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\)

Applying the formula to the given coordinates:

M = \((\frac{-2 + 3}{2}, \frac{-3 + 7}{2})\) = \((\frac{1}{2}, \frac{4}{2})\) = \((0.5, 2)\)

Therefore, the correct coordinates of point M, the midpoint of LN, are (0.5, 2).

Answer 2

The line segment LN has coordinates as follows;

`\begin{gathered} L=(-2,-3) \\ N=(3,7) \end{gathered}`

The midpoint of a line is derived with the following coordinates;

`M=((x_1+x_2))/(2),(y_1+y_2)/(2)`

The coordinates are thus;

`\begin{gathered} (x_1,y_1)=(-2,-3) \\ (x_2,y_2)=(3,7) \end{gathered}`

The midpoint, which is M, now becomes;

`\begin{gathered} M=(-2+3)/(2),(-3+7)/(2) \\ \text{Also, re-written as;} \\ M=(3-2)/(2),(7-3)/(2) \end{gathered}`

ANSWER:

The first option is the correct answer.