Final answer:
To rewrite the equation y-4=3/4(x+8) in standard form, multiply through by 4, distribute, and rearrange the terms to get 3x-4y=-40.
Step-by-step explanation:
To rewrite the equation y-4=3/4(x+8) in standard form, we need to eliminate the fraction by multiplying both sides of the equation by 4. This gives us 4(y-4)=3(x+8). Next, distribute 4 to both terms inside the parentheses on the left side and 3 to both terms inside the parentheses on the right side. This simplifies the equation to 4y-16=3x+24. Finally, move all the variables to the left side and all the constants to the right side to get the final standard form equation 3x-4y=-40.