SOLUTION: Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, -3) and is parallel to the line with equation
y 2/3x + 1.
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Question 26861: Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, -3) and is parallel to the line with equation
y 2/3x + 1.
Answer by bmauger(101) (Show Source): You can put this solution on YOUR website!
In this equation, you are given a y-intercept (-3) and given a line that it is parallel with. If you know that parallel means "has the same slope as" then you'd realize that if you know the slope to the line the gave you, you'll also know the slope of the line you want. If an equation of x & y is in the slope intercept format (y=mx+b) you know the slope is m. In this case, y=2/3x+1 is already written in that format, and you know that m = the slope = 2/3 for this line. Your parallel line must also have the same slope, 2/3. Now that you have the slope (m=2/3) and the y-intercept (b=-3) you can use that to create your line in slope intercept form.
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