The graph of which of the following equations is a straight line that is parallel to line l in the figure above?
(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6
A line is parallel to line l if it has the same value for m in the formula y=mx+b.
We have to calculate the value of m of the line l in the picture:
y2-y1/x2-x1 = 2-0 / 0-(-3) = 2/3 = m (the slope of line l)
If you rewrite (A) to
y = 2/3x
A has the same slope.
A
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