SOLUTION: My problem is: Given the line 2y=-4x+8, write the equation of a line in slope-intercept form: being parallel to the given line, with a y-intercept of 3.

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Question 16959: My problem is: Given the line 2y=-4x+8, write the equation of a line in slope-intercept form: being parallel to the given line, with a y-intercept of 3.
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
Remember that the slope-intercept form of the equation for a line gives you two pieces of information. The slope, m, and the y-intercept, b.
Remember too, that parallel lines have identical slopes.
So you have all of the neccessary information to write down the equation of the line that is parallel to the line 2y = -4x + 8. You need to find the slope of this line which you can do by writing the equation in the slope-intercept form:
y = mx + b
Divide both sides by 2.
So the slope, m, is -2. This will be the slope of the new line as well. You are also given the y-intercept of the new line, b = 3.
The equation of the new line is: