Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(6,7) and (4,−1)

Answer 1

8.2 units (nearest tenth)

Explanation:

Distance between two points

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

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

Given points:

• (x₁, y₁) = (6, 7)
• (x₂, y₂) = (4, -1)

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

`\implies d=√((4-6)^2+(-1-7)^2)`

`\implies d=√((-2)^2+(-8)^2)`

`\implies d=√(4+64)`

`\implies d=√(68)`

`\implies d=8.2 \; \sf (nearest\;tenth)`

Therefore, the distance between the two given points is 8.2 units to the nearest tenth.