Final answer:
To write the equation y-10 = 9(x+8) in standard form, distribute the 9 and rearrange the equation to get the variables on one side and the constant term on the other side. Subtract the x term from both sides to have the equation in standard form.
Step-by-step explanation:
To write the equation y-10 = 9(x+8) in standard form, we need to distribute the 9 to the terms inside the parentheses. This gives us y - 10 = 9x + 72. Next, we rearrange the equation to get the variables on one side and the constant term on the other side. Adding 10 to both sides, we have y = 9x + 82.
Finally, we rearrange the equation so that the x term comes before the y term. To do this, we subtract 9x from both sides, resulting in -9x + y = 82.