\Find the distance between points M(6, 16) and Z(–1, 14) to the nearest tenth.Step by Step
To find the distance between two points on a coordinate plane, you can use the distance formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's use this formula to find the distance between points M(6, 16) and Z(-1, 14).
Step 1: Assign the coordinates to variables.
Let x₁ = 6, y₁ = 16 (coordinates of point M)
Let x₂ = -1, y₂ = 14 (coordinates of point Z)
Step 2: Plug the values into the distance formula.
d = √((-1 - 6)² + (14 - 16)²)
Step 3: Simplify the equation.
d = √((-7)² + (-2)²)
= √(49 + 4)
= √53
Step 4: Approximate the square root to the nearest tenth.
Using a calculator, we find √53 ≈ 7.280
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.3 units to the nearest tenth.