Question

# What is the value of $$y$$ so that the line through $$( 3 , y )$$ and $$( 2,7 )$$ is parallel to the line through $$( - 1,4 )$$ and $$( 0,6 ) ?$$

Solution

## Slope of $$(0, 6)$$ and $$(-1, 4)$$ is$$\dfrac{6-4}{0+1}=\dfrac{2}{1}=2$$Slope of $$(3, y)$$ and $$(2, 7)$$$$=\dfrac{y-7}{3-2}=y-7$$Since the lines are parallel, we have $$y-7=2$$$$\Rightarrow y=9$$.Mathematics

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