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 - did not match any docu
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Question 146251: 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 - did not match any documents.
I am not sure exactly what they are asking for can you please help me with this.
thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We can see that the equation has a slope and a y-intercept .
Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is .
Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope and the coordinates of the given point )
.
Start with the point slope formula
Plug in , , and
Rewrite as
Distribute
Multiply
Subtract 3 from both sides.
Combine like terms.
So the equation of the line parallel to that goes through the point is .
Here's a graph to visually verify our answer:
Graph of the original equation (red) and the parallel line (green) through the point .
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