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What is the slope of a line parallel to the line whose equation is 18 x - 3 y equals -45

User JOE LEE
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The equation of the line in Slope-Intercept form is:


y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Let's solve for "y" from the equation of the line given in the exercise, in order to express it in Slope-Intercept form:


\begin{gathered} 18x-3y=-45​ \\ -3y=-18x-45 \\ y=(-18x-45)/(-3) \\ y=6x+15 \end{gathered}

You can identify that:


\begin{gathered} m=6 \\ b=15 \end{gathered}

By definition, the slopes of parallel lines are equal. Therefore, the slope of the line parallel to line given in the exercise, is:


m=6

User Daniel Cheung
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