Question

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

Answer 1

Answer:

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

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

$y=\frac{-2x +8}{4}$

$y=\frac{-2}{4}x+\frac{8}{4}$

$y=\frac{-1}{2}x+2$

The slope is the coefficient of the x term, so

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

Answer 2

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

2x+4y=8

4y = -2x +8

y = $-\frac{2}{4}$x + $\frac{8}{4}$

y = $-\frac{1}{2}$x + 2

y=mx+b so the slope is m=$-\frac{1}{2}$.  

parallel lines have the same slope.