Answer:
The answer would be A and D, I just took the quiz
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
The left side would be (3x - 12)
The right side would be (-4x+2)
In an equation, 3x - 12 = -4x+2
Combine all the letters on the left and plain numbers on the right,
3x + 4x = 12 + 2
Note: When you transfer to the other side of the equal sign, the number will change its sign.
Simplify the 3x + 4x = 12 + 2,
7x = 14

x = 2
The equation given in the question is
2x - 3y = 6
Dividing both sides of the equation by 3, we get
2/3 x - y = 2
y = 2/3 x - 2
Then, from the above equation we can tell that the slope of the line in the graph is 2/3. The slope of a line perpendicular to this slope will be - 3/2. The line also contains the points (-2,-3).
Then, the equation of the perpendicular line will be
y = mx + b
- 3 = (- 3/2)(- 2) + b
- 3 = 3 + b
b = - 6
Then
y = (-3/2)x - 6
y + 6 = (- 3/2)x
2y + 12 = - 3x
3x + 2y = - 12