1 Answer

FalconNL · Answer 1 · 2023-01-12T05:00:49+0000

Given the equations:

$\begin{gathered} y=2x+6 \\ y=(1)/(2)x+3 \end{gathered}$

The equation has the form of slope - intercept form which is like:

$y=m\cdot x+b$

Where m is the slope and b is y- intercept

So,

The slope of the first equation = 2

The slope of the second equation = 1/2

The graphs of the equations are parallel when the slopes are equal

The graphs of the equations are perpendicular when the product of the slopes = -1

so,

the slopes are not equal

The product of the slopes = 2 * 1/2 = 1

So, the graphs of the equations are neither parallel nor perpendicular.

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