Question

Work out the coordinates of the midpoint of AB

Answer 1

Answer:

(-2 + -2 / 2 ; -1 + 4 / 2)

AB Midpoint(-2;1.5)

Explanation:

Use this formula:

Midpoint = (X1 + X2 / 2 ; Y1 + Y2 / 2)

Answer 2

Answer:

a) It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are: A(-2, -1)

b) We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.

Please check the attached graph.

c) The coordinates of the midpoint of AB:  $\left(-2,\:\frac{3}{2}\right)$        

Step-by-step explanation:

Part a)

Important Tip:

• The coordinates of point A can be determined by checking the location of point A.

It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are:

• A(-2, -1)

Part b)

We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.

Please check the attached graph.

Part c)

We can determine the coordinates of the midpoint of AB using the formula

$M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

In our case, we have:

A(x₁, y₁) = A(-2, -1)

B(x₂, y₂) = B (-2, 4)

so substituting $\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)$ in the formula

$M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

            $=\left(\frac{-2-2}{2},\:\frac{4-2}{2}\right)$

Refine

            $=\left(-2,\:\frac{3}{2}\right)$

Therefore, the coordinates of the midpoint of AB:  $\left(-2,\:\frac{3}{2}\right)$