Question

What is y+4=2(x-7) in standard form

Answer 1

2x - y = 10.

Explanation:

1. Distribute the 2 to both terms inside the parentheses:

y + 4 = 2x - 14

2. Move the y term to the other side of the equation by subtracting y from both sides:

4 - y = 2x - 14

3. Rearrange the terms so that the x term comes before the y term:

2x - y = 14 - 4

4. Simplify the right side of the equation:

2x - y = 10

Meaning, the equation y+4=2(x-7) in standard form is 2x - y = 10.

Answer 2

To convert the equation y + 4 = 2(x - 7) into standard form (Ax + By = C), follow these steps:

1. Distribute the 2 on the right side of the equation:

y + 4 = 2x - 14

2. Move all the terms to one side of the equation, typically with the variables (x and y) on the left side and constants on the right side:

y - 2x = -14 - 4

3. Simplify the constants on the right side:

y - 2x = -18

So, the equation y + 4 = 2(x - 7) in standard form is:

y - 2x = -18