can someone please help me solve the question and explain to me and also show me specifically what to do step by step???
Q: what is the standard form of
Y-8=2(x+2)?
MISTAKE:
its actually y-8=2(x+3)
Answer Choices:
A. 2x+y=14
B. y=2x+14
C. 2x-y=-14
D. y-2x=11
most texts use these definitions:
y intercept - slope form : y = mx + b
standard form: Ax + By = C
general form : Ax + By + C = 0
so you want the x and y terms on one side, the constant on the other side
y - 8 = 2(x+3)
y - 8 = 2x + 6
2x + 6 = y - 8
2x - y = -14 , looks like C
Ax +By = C
y-8 = 2x +6
y-8-6 =2x + 6 -6
y-14 = 2x
y-y -14 = 2x -y
-14 = 2x-y
C
Sure! I can help you solve the equation and show you the step-by-step process.
To find the standard form of the equation, we need to rearrange it so that it follows the standard form: Ax + By = C.
Let's start by expanding the equation:
Y - 8 = 2(x + 2)
First, distribute the 2 on the right side:
Y - 8 = 2x + 4
Next, let's move all the terms to one side of the equation to isolate Y:
Y - 2x = 4 + 8
Y - 2x = 12
Now, we have the equation in the form Y - 2x = 12, but to convert it to the standard form, we need to make the coefficient of x positive, so let's multiply every term by -1:
-1(Y - 2x) = -1(12)
This gives us:
- Y + 2x = -12
Finally, let's rearrange the equation so that the x term comes before the y term:
2x - Y = -12
So, the standard form of the equation Y - 8 = 2(x + 2) is 2x - Y = -12.