Answer:
y = (3/2)x + 11/2
Step-by-step explanation:
As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is
m = rise / run = 6/4 = 3/2.
Subbing the knowns into the general point-slope form of the equation of a straight line, we get
y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).
This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.
3x + 5 = 2x - 4
Steps:
1. Transpose.
2. Combine like terms.
3. Divide both sides by the coefficient of x. By doing so, this will isolate x.
Answer:
Step 1
Step-by-step explanation:
The problem says 3x^2+7x-4 was subtracted, meaning the equation should look like -2x^2+4x+9 - 3x^2+7x-4.
Answer:
x = -4
Step-by-step explanation:
1) Distribute
3(x - 6) + 6 = 5x - 4
3x - 18 + 6 = 5x - 4
2) Add the numbers
3x - 18 + 6 = 5x - 4
3x - 12 = 5x - 4
3) Add 12 to both sides
3x - 12 = 5x - 4
3x - 12 + 12 = 5x - 4 + 12
4) Simplify
Add The Numbers:
3x - 12 + 12 = 5x - 4 + 12
3x = 5x - 4 + 12
Add the numbers:
3x = 5x - 4 + 12
3x = 5x + 8
5) Subtract 5x from both sides
3x = 5x + 8
3x - 5x = 5x + 8 - 5x
6) Simplify
Combine like terms:
3x - 5x = 5x + 8 - 5x
-2x = 5x + 8 - 5x
Combine like terms:
-2x = 5x + 8 - 8
-2x = 8
7) Divide both sides by each factor
-2x = 8
-2x/-2 = 8/-2
8) Simplify
Cancel terms that are in both the numerator and denominator:
-2x/2 = 8/-2
Divide the numbers:
x = 8/-2
x = -4
Solution:
x = -4