(-2;y) is midpoint of the line between the points (4;3) and (x;7)
-2 = (x+4) / 2 = x/2 + 2
-4 = x/2 so x = -8
and
y = (7+3)/2 = 5
(4,3 ) , midpoint at (-2,5) , (-8 , 7)
To find the value of x, we can use the midpoint formula. The midpoint formula states that the midpoint between two points, (x₁, y₁) and (x₂, y₂), is given by the coordinates:
((x₁ + x₂)/2, (y₁ + y₂)/2)
In this case, we are given that the midpoint is (-2, y), with one point being (4, 3), and we need to find the value of x when the other point is (x, 7).
Let's substitute the given values into the midpoint formula:
((-2 + x)/2, (3 + 7)/2) = (4, 3)
Now, we can solve for x:
(-2 + x)/2 = 4 Subtract -2 from both sides.
-2 + x = 8 Add 2 to both sides.
x = 10
Therefore, the value of x is 10.
To find the value of x, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:
Midpoint = ( (x1 + x2)/2, (y1 + y2)/2 )
In this case, we have the midpoint (-2, y) and two points (4, 3) and (x, 7). Let's assign the values:
x1 = 4
y1 = 3
x2 = x
y2 = 7
Using the midpoint formula and substituting the given values, we have:
(-2) = ( (4 + x)/2 )
y = (3 + 7)/2
To find x, we can solve the equation:
-2 = (4 + x)/2
Multiply both sides of the equation by 2:
-4 = 4 + x
Subtract 4 from both sides of the equation:
-8 = x
So, the value of x is -8. The midpoint of the line between the points (4, 3) and (-8, 7) is (-2, y), where y = (3 + 7)/2 = 5.