Where m is the slope and b is the y-intercept. So the equation is

Here's the graph of and

Answer by rmromero(383)   (Show Source): You can put this solution on YOUR website!

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.





  Slope - Intercept formula 



         y = mx + b, where m = slope and b = y-intercept



 Remember that if the lines are parallel to each other,

 The slope are equal.

 Since a line y = (2/3)x + 1 is parallel to the line we are looking for,

 m = 2/3 and according to the given y-intercept = -3



 so the equation of the line we are looking for is



               y = (2/3)x - 3



If you want to see the graph, here it is



    



The red line is the graph of y = (2/3)x + 1

The green line is the graph of y = (2/3)x - 3

Notice that the line are parallel to each other.



 

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