Answer:
The other endpoint B= (6, -5)
Step-by-step explanation:
Given:
One end point A= (2,5)
Mid point M = (4,0)
To Find:
The Other point =?
Solution:
According to midpoint formula, if (x1, y1) and (x2, y2) are two ends of a line then it’s midpoint is given by :
Using the above formula
..................................(1)
..................................(2)
Solving equation(1)
tex]8=2+x_2[/tex]
Solving equation(2)
Thus and
Answer:
Step-by-step explanation:
Let the equation of the line be where, 'm' is its slope and
is a point on it.
Given:
The equation of a known line is:
A point on the unknown line is:
Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,
Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,
The equation of a line perpendicular to the given line and passing through (4, -6) is .