Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related? They are parallel. They are perpendicular. They are the same line. They are not related.

They are perpendicular.

Step-by-step explanation:

In order to better compare these two lines, convert the first one to slope intercept form:

2x + y = 4

Now, subtract, 2x from both sides:

y = -2x + 4

Now, let's compare these two equations:

y = -2x + 4

y = x + 4

We can immediately determine that these two lines are perpendicular. Remember, perpendicular lines have negative reciprocal slopes. -2 and are negative reciprocals.

Therefore, since their slopes are negative reciprocals, the two lines defined by those equations are perpendicular.

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step-by-step explanation: