Is the linear equation 3x - 2 = y in standard form? Explain.
Standard form: Ax + By = C
To determine if the linear equation 3x - 2 = y is in standard form, we need to check if it meets certain criteria.
Standard form for a linear equation is typically written as Ax + By = C, where A, B, and C are integers, and A is non-negative.
Given the equation 3x - 2 = y, it is not immediately clear if it is in standard form because the variable y is on the right side of the equation. To put it in the standard form, we need to rearrange the equation so that all the variables are on the left side.
In this case, we need to move the term containing y to the left side by adding 2 to both sides of the equation:
3x - 2 + 2 = y + 2
3x = y + 2
Now, notice that the equation is in the form of y = mx + b, which is called the slope-intercept form, where m represents the slope and b represents the y-intercept.
Since the equation does not match the standard form Ax + By = C, we can conclude that the equation 3x - 2 = y is not in standard form.