Question

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

Answer 1

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`