Write an equation parallel to the given line through the given point. parallel to y = 2/3x + 6, through (-3,6)

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Shateema asked Aug 2, 2023

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3 votes

Write an equation parallel to the given line through the given point. parallel to y = 2/3x + 6, through (-3,6)

Mathematics
college

Shateema asked Aug 2, 2023

by Shateema

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1 Answer

22 votes

$\begin{gathered} \text{the equation of a parallel line to } \\ y=(2)/(3)x+6 \\ \\ \text{has the shape} \\ y=(2)/(3)x+b,\text{ so we only have to find b. (remember that parallel lines ALWAYS have the same slope).} \\ \\ \text{ Since the line passes through (-3,6),} \\ 6=(2)/(3)(-3)+b \\ 6=-2+b \\ b=6+2 \\ b=8 \\ \\ \text{Thus, the equation of the parallel is} \\ y=(2)/(3)x+8 \end{gathered}$

Isaac Minogue answered Aug 6, 2023