What is the slope of a line that is parallel to the line 2x + 4y = 16 ?

-1/2

Step-by-step explanation:

In order to most easily see the slope, you must out the equation into slope-intercept form: y=mx+b

m- the slope

b- y-intercept

1. isolate the y (move all terms besides y and its coefficient to the other side of the equal sign) Make sure to flip the sign when switching sides 4y= -2x+16

2. Divide the equation by 4 in order to completely isolate a single y. 4/4 = 1 (so just y). 16/4=4. -2/4= -1/2

3. Final equation is y= -1/2x + 4. The slope is -1/2 because that represents the m in the equation.

If a line is parallel to another line, then they must have the same slope but different y- intercept; or else they would just be the same line

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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step-by-step explanation: