Find the midpoint of the line segment having the given endpoints.
(−5, −2), (8, 10)
-3.5, 9
Find the x- and y-intercepts of the graph of the equation. (Separate multiple ordered pairs with commas.)
4x − 5y = 4
x-intercept(s) (x, y) =
y-intercept(s) (x, y) =
To find the midpoint of a line segment with given endpoints, we can use the midpoint formula. The formula states that the midpoint coordinates are the average of the x-coordinates and the average of the y-coordinates of the endpoints.
Let's calculate the midpoint for the given endpoints:
Endpoint 1: (−5, −2)
Endpoint 2: (8, 10)
To find the x-coordinate of the midpoint, we take the average of the x-coordinates:
x-coordinate of midpoint = (−5 + 8) / 2 = 3 / 2 = 1.5
To find the y-coordinate of the midpoint, we take the average of the y-coordinates:
y-coordinate of midpoint = (−2 + 10) / 2 = 8 / 2 = 4
Therefore, the midpoint of the line segment with endpoints (−5, −2) and (8, 10) is (1.5, 4).