Question 210750

The key thing to know is parallel lines have the same slope. From the equation you are given, rewrite it in y=mx+b form. The slope is then just read off the equation as m.
Your given equation is:
{{{y=7/4x-3}}}
Hopefully, the x is in the denominator as you indicated - use parenthesis next time so it's more clear.
Re-writing in y=mx+b form:
{{{y=4x/7-3}}}
Now you can see the slope (m) is simply:
{{{slope=4/7}}}
Any and all lines parallel to y=7/4x-3 have this same slope.
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Good Luck,
tutor_paul@yahoo.com
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PS:
If the equation given was really:
{{{y=7x/4-3}}}, the the slope is:
{{{slope=7/4}}}