change the equation x-y=4 to the form y=mx+b
I will be happy to critique your work on this.
y=x+4
To rewrite the equation x - y = 4 in the standard form of y = mx + b, where m represents the slope and b represents the y-intercept, you need to isolate y on one side of the equation.
Here's how you can do it step by step:
1. Start with the original equation: x - y = 4.
2. To isolate y, we need to move the x term to the other side of the equation. You can do this by subtracting x from both sides:
x - y - x = 4 - x
-y = -x + 4
3. Now, we need to make the coefficient of y positive. By multiplying the entire equation by -1, the signs will flip:
-1 * (-y) = -1 * (-x + 4)
y = x - 4
So, the equation x - y = 4 can be rewritten as y = x - 4, which is in the form y = mx + b. In this case, the slope (m) is 1, and the y-intercept (b) is -4.
If your answer was y = x + 4, then there might have been a mistake in your calculations. Please double-check your steps to make sure you didn't miss any sign changes or terms during the process.