Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(
,
) and (
,
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴
= -15 and
= x
∴
= 13 and
= y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴
= -24 and
= 15
→ Use the rule of the mid-point to find x and y
∵ 
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ 
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Answer:

Step-by-step explanation:
use y = mx + b where:
y = y-coordinate = 6
m = slope = -1/4
x = x-coordinate = -2
b = y-intercept = what we're solving for to complete the equation
plug the values into the equation
multiply
and 2
subtract
from both sides

now we plug m and b into the equation and leave x and y as variables to get the final equation:

D. Last Answer is the correct answer to your question
Answer:
(0, -3)
Step-by-step explanation:
y = 3x - 3
y = x - 3
In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.
Then solve for x:
3x - 3 = x - 3
Add 3 to both sides
3x = x
Subtract x from both sides
2x = 0
Divide both sides by 2
x = 0
Now that you have x, substitute it in one of the equations:
y = 3x - 3
y = 3(0) - 3
y = -3
x is 0 and y is -3, so the solution to the equation is (0, -3)