5• (4 • x ) simplified
1 answer:
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Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and
where and
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = and -1 =
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
Keywords
system; linear equations; graphing; solution
we have
-------> equation A
----> equation B
The <u>system</u> of <u>linear equations</u> is composed of equation A and equation B
Substitute the equation B in equation A
Find the value of x
The<u> solution</u> is the point
Using a <u>graphing</u> tool
see the attached figure
therefore
the answer is the option A
