Given the standard form of the equation:
[tex]\text{ x + y = 8}[/tex]
Writing in slope-intercept form, the equation must be similar to y = mx + b, solving the equation of y in terms of x.
We get,
[tex]\text{ x + y = 8}[/tex][tex]\text{ x + y - x = 8 - x}[/tex][tex]\text{ y = -x + 8}[/tex]
Therefore, the slope-intercept form of the equation x + y = 8 is y = -x + 8.
