Question

On a coordinate grid, AB has an end point B at (24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A?

Answer 1

The y-coordinate of point A is -22

Step-by-step explanation:

Given

B = (24,16)

P = (4,-3)

The formula for mid-point of AB will be given by:

$P = (\frac{x_A+x_B}{2} , \frac{y_A+y_B}{2})$

As we already know the y-coordinate of midpoint

We can put the formula's y coordinate equal to the given value

$\frac{y_A+y_B}{2} = -3\\\frac{y_A + 16}{2 } = -3\\y_A+16 = -3 * 2\\y_A +16 = -6\\y_A = -6-16\\y_A = -22$

Hence,

The y-coordinate of point A is -22

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

• brainly.com/question/5565320
• brainly.com/question/5720422

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