Convert y-2=-(x+6) to slope-intercept form.
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Of course! To convert the equation y-2=-(x+6) to slope-intercept form, we need to rearrange the equation to isolate y. The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Let's start by distributing the negative sign to the terms inside the parentheses on the right side of the equation:
y - 2 = -x - 6
Next, let's move the term -x to the left side of the equation by adding x to both sides:
y - x - 2 = -6
Now, we can rearrange the terms to isolate y:
y - x = -6 + 2
y - x = -4
Finally, let's write the equation in slope-intercept form by rearranging the terms so that y is alone on one side of the equation:
y = x - 4
So, the converted equation in slope-intercept form is y = x - 4.