Question

Point A is at (-5, -4) and point M is at (0, -3.5).

Answer 1

Answer:

The coordinates of point B are (5,-3)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

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

In this problem

Point A is at (-5, -4) and point M is at (0, -3.5)

$point\ A=(x_1,y_1)\\point\ B=(x_2,y_2)\\point\ M=(0,-3.5)$

substitute in the formula

$(0,-3.5)=(\frac{-5+x_2}{2},\frac{-4+y_2}{2})$

so

Solve for x_2

$0=\frac{-5+x2}{2}\\x_2=5$

Solve for y_2

$-3.5=\frac{-4+y_2}{2}\\-7=-4+y_2\\y_2=-3$

therefore

The coordinates of point B are (5,-3)

Answer 2

Answer:

Solve for y_2

therefore

The coordinates of point B are (5,-3)

Step-by-step explanation: