SOLUTION: write an equation of the line that passes through the given point and is parallel to the given line. (5,4), y=3x+5

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First parallel lines have the same slope..so you know that
y = 3x + 5 has a slope of 3
then you have the point (5, 4)
so: the new equation would start as
4 = 3(5) + b...now solve for b
4 = 15 + b subtract 15 from both sides
-11 = b
so now we can write the equation
y = 3x - 11
Hope this helps