SOLUTION: state the equation of the line parallel to y=3/4X-2 and through (5,-1) into standard form

Question 37954: state the equation of the line parallel to y=3/4X-2 and through (5,-1) into standard form
Found 2 solutions by Paul, junior403:
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Parallel slope is
In y=mx+b, y=-1, x=5, and m=

Hence, the equation is
Paul.
Answer by junior403(76) (Show Source): You can put this solution on YOUR website!
state the equation of the line parallel to y=3/4X-2 and through (5,-1) into standard form.
To find the equation of a line, given the equation of a parallel line

and a given point, (5,-1) as (x1,y1)
we can use the point-slope formula...

Now we substitute the given quantities.
NOTE: the slope (m) of a parallel line is equal to the slope (m)
of the original equation.
So...

Then perform the indicated operations...

Now we can subtract (1) to both sides of the equation...

Then we can multipy bothsides by the LCD (4) in order to eliminate the fractions.

and we get...

This is our parallel equation,
Now we need to put it in standard form
So we subtract 3x from both sides...

Or...

This is your answer.
I hope this helps.
Good Luck!

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