What is the parallel to 2x-3y=6 and passing through(-3,1) ...?

1 answer:

5 0

Parallel lines have equal slopes.

$2x-3y=6
\\-3y=-2x+6
\\
\\y= \frac{2}{3} x-2
\\
\\m= \frac{2}{3}
\\
\\(-3,1) \Rightarrow x_1=-3,y_1=1
\\
\\y-y_1=m(x-x_1)
\\
\\y-1=\frac{2}{3}(x-(-3))
\\
\\y-1=\frac{2}{3}(x+3)
\\
\\y-1=\frac{2}{3}x+2
\\
\\3y-3=2x+6
\\
\\2x-3y+9=0$

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