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.
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
1 answer