Question

PLS HELPPPPPPPPP

Points A(2, 3) and B(−6, 3) are located on a coordinate plane. Graph the pair of points. Then find the distance between them and complete the explanation.

Answer 1

8 units.

Explanation:

Given points:

• A = (2, 3)
• B = (-6, 3)

Graph the given points (x, y) on the coordinate plane. (See attachment).

Distance between two points

`\boxed{d=√((x_2-x_1)^2+(y_2-y_1)^2)}`

where (x₁, y₁) and (x₂, y₂) are the endpoints.

Substitute the given points into the distance formula and solve for d:

`\implies d=√((-6-2)^2+(3-3)^2)`

`\implies d= √((-8)^2+(0)^2)`

`\implies d=√(64+0)`

`\implies d=√(64)`

`\implies d=8\; \sf units`

Therefore, the distance between the two given points is 8 units.

As the two points have the same y-value, the two points are on a horizontal line. Therefore, the distance between them can be calculated by simply determining the difference in their x-values:

`\implies 2-(-6)=8\; \sf units`