Convert y-2=-(x+6) to slope-intercept form.
To convert the equation y-2=-(x+6) to slope-intercept form (y=mx+b), we need to isolate y on one side of the equation. Here's the step-by-step process:
Step 1: Distribute the negative sign to x and 6 on the right side of the equation:
y - 2 = -x - 6
Step 2: Move the constant term (-2) to the right side by adding 2 to both sides of the equation:
y = -x - 6 + 2
Simplifying the right side of the equation, we get:
y = -x - 4
Now, the equation is in slope-intercept form (y=mx+b), where m represents the slope (-1 in this case) and b represents the y-intercept (-4 in this case).
So, the converted equation is y = -x - 4.