Question

What is the equation of line t in standard form?

1) x + 6y = 114
2) -6x - y = 19
3) x - 6y = -114
4) 6x - y = 19

Answer 1

To determine which equation corresponds to line t in standard form, we need more context about line t. All the provided options are linear equations in standard form or can be easily converted to standard form. Without additional information, all options are potentially correct for line t.

Step-by-step explanation:

To find the equation of line t in standard form, we need to understand what standard form means. In mathematics, a linear equation in standard form is written as Ax + By = C, where A, B, and C are integers, and A is non-negative. Of the options provided, we look for an equation that is already presented in standard form or can easily be converted to standard form.

Let's examine each option:

1. x + 6y = 114: This equation is already in standard form.
2. -6x - y = 19: To convert to standard form with A being non-negative, we multiply the entire equation by -1 to get 6x + y = -19.
3. x - 6y = -114: This equation is also in standard form.
4. 6x - y = 19: This equation is in standard form, but we would typically write it as -y + 6x = 19 to maintain the order of the variables (x then y).

Without additional context or constraints, all four options are valid linear equations in standard form. To identify which specific equation line t corresponds to, we would need more information about line t. If we're strictly adhering to the convention of A being non-negative, we'd adjust equation 2 and keep the rest as they are.