Question

if (4,-2) is the midpoint of the line segment joining the point(3-2) find the value of x​

Answer 1

Answer: the point is 5,-2

Step-by-step explanation:

Let the coordinates of the point be (x,y)

We can use the section formula to find the coordinates

Section formula =

x = $\frac{ m*x2 + n*x1}{ m + n }$

y = $\frac{ m*y2 + n*y1}{ m + n }$

Where x,y is the point at which the line joining the points x1,y1 and x2,y2 are divided in the ratio m:n

We know that the line is divided at the centre

=> the ratio = 1:1

Using the values and substituting, we get

$4 = \frac{ x + 3 }{ 2}\\\\=> 8 = x + 3\\\\=> x = 5$

Similarly

$-2 = \frac{y -2}{2}\\\\=> -4 = y-2\\\\=> y = -2$

Therefore the point is 5,-2

Please brainlist my answer, if helpful!

Answer 2

Answer:

Step-by-step explanation: