( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
(2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
(8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
Let's first find the slope. Below is how you find the slope using two points:
The formula for slope is
In this case we have the two points:
(-1, -5) and (-3, -7)
This means that:
^^^Plug these numbers into the formula for slope...
1
^^^This is your slope
This is the formula we have so far:
y = 1x + b
OR
y = x + b
Now we must find b
To do that you must plug in one of the given points the line goes through in the x and y of the equation.
(-1, -5)
-5 = 1(-1) + b
-5 = -1 + b
-4 = b
(D) y = x - 4
Hope this helped!
~Just a girl in love with Shawn Mendes