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What is the slope of a line parallel to the line with equation 2x+4y=8

Sagot :

AnimalPost

Answer:

m = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.

So,

2x + 4y = 8

4y = -2x + 8

[tex]y=\frac{-2x +8}{4}[/tex]

[tex]y=\frac{-2}{4}x+\frac{8}{4}[/tex]

[tex]y=\frac{-1}{2}x+2[/tex]

The slope is the coefficient of the x term, so

m = [tex]\frac{-1}{2}[/tex]

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

2x+4y=8

4y = -2x +8

y = [tex]-\frac{2}{4}[/tex]x + [tex]\frac{8}{4}[/tex]

y = [tex]-\frac{1}{2}[/tex]x + 2

y=mx+b so the slope is m=[tex]-\frac{1}{2}[/tex].  

parallel lines have the same slope.

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