The equation that shows the equation in standard form is - 2x + y = -6
How to represent an equation in standard form?
To put an equation in standard form, you need to group the x and y terms on the same side:
Therefore,
y + 4 = 2(x-1)
Hence, let's distribute the 2 on the right side
y + 4 = 2(x-1)
y + 4 = 2x - 2
subtract 2x from both sides
y + 4 = 2x - 2
y + 4 - 2x = 2x - 2x - 2
y - 2x + 4 = - 2
Subtract 4 from both sides of the equation
y - 2x + 4 = - 2
y - 2x + 4 - 4 = - 2 - 4
y - 2x = -6
Therefore, the equation that shows the equation in standard form is y - 2x = -6
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