Answer:
(6, -17)
Step-by-step explanation:
Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:
The midpoint formula is given as 
.
Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.
Let the other endpoint be 
Midpoint = M(5, -12)
Let the given endpoint = 
Thus:
Rewrite the equation to find the coordinates of the other endpoints
and 
Solve for each:
Ordered pair of the other endpoint is (6, -17)
Answer:
0.79432823472
Step-by-step explanation:
Answer:
Common Denominator 10: 5-7/10 and 3/2-4/5
Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)
Common Denominator 24: 1/8-5/3 and 13/24+7/12
Hopefully This Helps You :)
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
