Answer:
slope = -
Step-by-step explanation:
Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ
To calculate slope m use the slope formula
m =
with (x₁, y₁ ) = P(- 2, 4) and (x₂, y₂ ) = Q(6, - 2)
m = =
= -
Answer:
Option D is correct.
13x = 39
Step-by-step explanation:
The system of equation is given:
....[1]
.....[2]
Multiply equation [1] by 5 to both sides we have;
.....[3]
Using elimination method:
Add [2] and [3] equations to eliminate y and solve for x, we have;
Divide both sides by 13 we get;
x = 3
Substitute x in [1] we have;
2(3)-y = -4
6-y = -4
Subtract 6 from both sides we have;
-y = -10
Divide both sides by -1 we have;
y = 10
⇒Solution: (3, 10)
Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,
13x = 39