Question 698102: write an eqauation of the line containing (5,-7) and parallel to the graph of 6x-7y=2
Answer by nicy12(9)   (Show Source):
You can put this solution on YOUR website! to find the equation of the line, we need to find its slope.
since 6x-7y=2 is parallel to a line, it means that the slope of 6x-7y=2 is the same as the slope of the unknown equation.
to find the slope of 6x-7y=2, we must make the equation into slope-intercept form y= mx+b wherein "m" is the slope :
6x-7y= 2
-7y= -6x+2
y= -6x/-7 + 2/-7
so the slope for 6x-7y=2 is m=6/7
next thing to do is to find the equation of the line. since you have the slope and a given point, you can get the equation by using the point-slope form
(y-y1) = m(x-x1) where in y1 and x1 is the given x and y coordinate.
[y-(-7)] = 6/7 (x-5)
7y + 49 = 6x - 30
6x - 7y -79 = 0
6x-7y=79 is the equation of the line parallel to 6x-7y=2
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