Question 190087: Write an equation containing the given points and parallel to the line
(-7,4); 7x=3y+5 Found 2 solutions by Mathtut, solver91311:Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! any line parallel to 7x=3y+5 will have the same slope.....so the first step is to find the slope of this line 3y=7x-5---->y=(7/3)x-5/3.......so the slope is 7/3
:
Now using the point slope formula with (-7,4) as our point
:
y-4=(7/3)(x+7)
:
y-4=7/3x+49/3
:
3y-12=7x+49.........multiplied all terms by 3
:
7x+3y=61
Determine the slope of your given line by inspection of the coefficient on x.
The slope of any line parallel to the given line must have the same slope because:
So use the point-slope form of the equation of a line, the slope of the given line, and the coordinates of the given point to derive the desired equation:
After substituting the values, I recommend that you put the equation into standard form so that it is like the given equation.
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