Find distance between the two points and the midpoint of the line segment joining them (-1,1)and (-3,-2)
distance = √( 4^2 + (-3)^2) = √25 = 5
x of midpoint = (-1-3)/2 = -2
y of midpoint = (1-2)/2 = -1/2
midpoint is (-2,-1/2)
To find the distance between two points and the midpoint of the line segment joining them, we can use the distance formula and the midpoint formula.
First, let's find the distance between the two points (-1, 1) and (-3, -2):
1. Distance Formula:
The distance between two points (x1, y1) and (x2, y2) can be found using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the given values into the formula:
d = sqrt((-3 - (-1))^2 + (-2 - 1)^2)
= sqrt((-3 + 1)^2 + (-2 - 1)^2)
= sqrt((-2)^2 + (-3)^2)
= sqrt(4 + 9)
= sqrt(13)
So, the distance between the points (-1, 1) and (-3, -2) is sqrt(13).
Now, let's find the midpoint of the line segment joining these two points:
2. Midpoint Formula:
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the given values:
Midpoint = ((-1 + (-3)) / 2, (1 + (-2)) / 2)
= ((-4) / 2, (-1) / 2)
= (-2, -0.5)
So, the midpoint of the line segment joining the points (-1, 1) and (-3, -2) is (-2, -0.5).