| A line that passes
through the point (3,-2) is parallel to the line with equation 2y
- 4x = 6. 2y - 4x = 6 may be written as 2y = 4x + 6
2y = 4x + 6 may be written as y = 2x + 3
y = 2x + 3 has slope m=2
A line parallel to y=2x+3 also has slope m=2.
The line with slope m=2 containing (3,-2) is y-(-2)=2(x-3)
y-(-2)=2(x-3) may be written as y+2=2x-6
y+2=2x-6 may be written as y = 2x - 8
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