Questions: What is the midpoint of the points (2, 4) and (-5, 5)?

What is the midpoint of the points (2, 4) and (-5, 5)?
Transcript text: What is the midpoint of the points (2, 4) and (-5, 5)?
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Given Points

The given points are \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (-5, 5)\).

Step 2: Apply the Midpoint Formula

The midpoint \((x_m, y_m)\) of two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formulas:

  • \(x_m = \frac{x_1 + x_2}{2}\)
  • \(y_m = \frac{y_1 + y_2}{2}\) Substituting the given values, we get
  • \(x_m = \frac{2 - 5}2 = -2\)
  • \(y_m = \frac{4 + 5}2 = 4\).

Final Answer:

The midpoint of the points \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (-5, 5)\) is \((x_m, y_m) = (-2, 4)\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
¿Qué necesitas para la clase de matemáticas? un mapa una computadora una calculadora una palabra
failedAnswered
A spring stretches by 0.0154 m when a 4.91-kg object is suspended from its end. How much mass should be attached to this spring so that its frequency of vibration is f=5.52 Hz?
failedAnswered
Test Your Knowledge ✓ 72 % When trying to stick to a monthly budget, important financial decisions must be made... - At the beginning of the month. - At the end of the month. - Each and every day. - None of the above. SUBMIT
failedAnswered
Which of the following indicates a client has diabetes? Oral glucose tolerance test of 250 mg / dL on at least two separate occasions Fasting blood glucose of 115 mg / dL on at least two separate occasions Family history of early-onset diabetes Family history of neuropathy in the feet.
failedAnswered
Consider function (f). [ f(x)=-sqrt[3]x-3-1 ] Which graph represents function (f) ?