Answer:
[tex]Slope = m = \frac{-1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is.
[tex]y = mx + b[/tex] ----->(eq 1)
∴ m is slope
[tex]x+2y=8[/tex]
subtract x from both sides.
[tex]x - x +2y= - x + 8[/tex]
[tex]2y= - x + 8[/tex]
divide - 2 on both sides
[tex]\frac{2y}{2} = \frac{ - x + 8}{2}[/tex]
[tex]y = \frac{ - x}{2} + \frac{8}{2}[/tex]
[tex]y = \frac{ - 1}{2}x + 4[/tex] ----->(eq 2)
By comparing (eq 1) and (eq 2)
[tex]m = \frac{-1}{2}[/tex]
[tex]Slope = m = \frac{-1}{2}[/tex]
