SOLUTION: I sent this one before but I forgot the plus 1. I am such a moron. Please help. Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,

Algebra ->  Graphs -> SOLUTION: I sent this one before but I forgot the plus 1. I am such a moron. Please help. Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,      Log On


   

Question 73866: I sent this one before but I forgot the plus 1. I am such a moron. Please help.
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.
Found 2 solutions by jim_thompson5910, rmromero:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes. So the parallel line will have the slope of

So use this slope and plug in the y-intercept (0,-3) into the slope-intercept formula


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

Here's the graph of and
graph%28+300%2C+200%2C+-3%2C+5%2C+-5%2C+5%2C+%282%2F3%29x-1%2C+%282%2F3%29x%2B1%29+


Answer by rmromero(383) About Me  (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



    graph+%28200%2C+200%2C+-5%2C+6%2C+-4%2C+7%2C+%282%2F3%29x%2B1%2C+%282%2F3%29x-3%29



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.