Question

in order to be precise, jacob sets the jar he will use on the cartesian plane and marks two points on the edge; (-2,-4) and (6,18), as shown in the diagram below. if the two points jacob marked make the diameter of the candle, where should he place the wick so that it is exactly in the centre?

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1=-2,y_1 = - 4,x_2=6,y_2 = 18$.

Step3: Calculate the x - coordinate of the mid - point

$x=\frac{-2 + 6}{2}=\frac{4}{2}=2$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{-4+18}{2}=\frac{14}{2}=7$.

Answer:

$(2,7)$