The equation in the image is:

$y = 6x - 10$

To rewrite this in standard form, we rearrange the terms so that all variables are on the left-hand side and constants on the right. Standard form for a linear equation is:

$Ax + By = C$

Here’s how to rewrite $y = 6x - 10$:

1. Subtract $6x$ from both sides to move $x$ to the left-hand side: $-6x + y = -10$

2. Multiply through by $-1$ (if necessary, to make the coefficient of $x$ positive): $6x - y = 10$

Thus, the equation in standard form is:

$6x - y = 10$

Would you like further clarification or help with related topics?

Related Questions:

1. What is the importance of writing equations in standard form?
2. How do you convert standard form to slope-intercept form?
3. What are the general rules for coefficients in standard form (e.g., integers only)?
4. How do you graph a line given an equation in standard form?
5. What is the role of standard form in solving systems of equations?

Tip:

When rewriting equations into standard form, ensure all coefficients are integers, and the leading coefficient ($A$) is non-negative.