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babunello [35]
3 years ago
15

Find The slope of the line described by x+2y=8

Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

Slope = m = \frac{-1}{2}

Step-by-step explanation:

The equation of a line in  slope-intercept form  is.

y = mx + b   ----->(eq 1)  

∴ m is slope

x+2y=8

subtract x from both sides.

x - x +2y=  - x + 8

2y=  - x + 8

divide - 2 on both sides

\frac{2y}{2} = \frac{ - x + 8}{2}

y = \frac{ - x}{2} + \frac{8}{2}

y = \frac{ - 1}{2}x + 4 ----->(eq 2)  

By comparing (eq 1) and (eq 2)  

m = \frac{-1}{2}

Slope = m = \frac{-1}{2}

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