SOLUTION: I am really stuck on this question. I don't understand.. Please help!! Write an equation of the line containin the given point an parallel to the given line. express your answer

Question 495157: I am really stuck on this question. I don't understand.. Please help!!
Write an equation of the line containin the given point an parallel to the given line. express your answer in the form of y=mx+b.
1. (-2,6) 3x=7y+2
2. (8,9) 9x+y=3
3. (3,-9) 4x+9y=7

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
parallel lines have the same slope
___ what's different is the intercepts (places where the lines cross the x and y axes)

the slope of a line is determined by the x and y coefficients
___ the intercepts are determined by the constant term

using the given point, you can find the value of the constant term for the parallel line by substituting the x and y values

you can then change the equation to slope-intercept form (y = mx + b) by solving for y

1. substituting ___ 3(-2) = 7(6) + ? ___ -6 = 42 + ? ___ -48 = ?
___ the parallel line is ___ 3x = 7y - 48
___ solving for y ___ 7y = 3x + 48 ___ y = (3/7)x + (48/7)

the other two problems follow the same pattern
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