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
Question 83392: 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 bucky(2189) (Show Source):
You can put this solution on YOUR website! Given a line:
.
.
This is in the slope-intercept form:
.
.
in which m (the multiplier of x) is the slope of the line and b is the value of y at the
point the graph of the line crosses the y-axis.
.
By comparing the slope intercept form with the given equation you can see that in the given
equation is the slope because it is the multiplier of x.
.
Any line that is parallel to the graph of must have the same slope
as the graph. So, in the slope intercept form, the line L will have the equation:
. where b is the y-axis intercept. The problem tells you that the
value of y on the y-axis is -3. Substituting this for b in the equation results in the
equation for L becoming:
.
.
and this is the answer to the problem. Line L is defined by the equation:
.
.
Hope this helps you to understand the concept of parallel graphs ... they will have the
same slope, but the y-intercepts will be different.
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