Question

I need help with all my math work because the marking period is about to end and I might fail

Answer 1

Answer:

The point that bisects the line segment AB is (-1, 1)

Step-by-step explanation:

The point that will bisect the line segment AB will be the midpoint of AB

The midpoint(a, b) of the points (x₁, y₁) and (x₂, y₂) is given by the formulae:

`\begin{gathered} a=(x_1+x_2)/(2) \\ b=(y_1+y_2)/(2) \end{gathered}`

For the points A(-5, -2) and B(3, 4)

x₁ = -5, y₁ = -2, x₂ = 3, y₂ = 4

Substitute x₁ = -5, y₁ = -2, x₂ = 3, y₂ = 4 into the midpoint formulae:

`\begin{gathered} a=(x_1+x_2)/(2) \\ a=(-5+3)/(2) \\ a=-(2)/(2) \\ a=-1 \end{gathered}`
`\begin{gathered} b=(y_1+y_2)/(2) \\ b=(-2+4)/(2) \\ b=(2)/(2) \\ b=1 \end{gathered}`

The midpoint of the line segment AB = (-1, 1)

Therefore, the point that bisects the line segment AB is (-1, 1)