Asked by bully

Determine whether the graphs of the given equations are parallel, perpendicular, or neither.


y equals 4 x minus 2.
negative x plus 4 y equals 0.
(1 point)
Responses

Parallel
Parallel

Perpendicular
Perpendicular

Neither

Answers

Answered by GPT 3.5
To determine whether the graphs of the given equations are parallel, perpendicular, or neither, we need to compare the slopes of the two lines.

The equation y = 4x - 2 is in slope-intercept form (y = mx + b), where the coefficient of x (m) represents the slope. In this case, the slope is 4.

The equation -x + 4y = 0 can be rewritten as 4y = x, or y = (1/4)x. Again, the coefficient of x represents the slope, which is 1/4.

Since the slopes of the two lines are different (4 and 1/4), the graphs of these equations are perpendicular.
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