The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:
<span>Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>
, you can see that 
.
A parallel equation is in the form:
Plug in anything you want for b. One example is:
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Answer: (just one example)
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:
<span>Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>
A parallel equation is in the form:
Plug in anything you want for b. One example is:
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Answer: