To determine whether the graphs of the given equations are parallel, perpendicular, or neither, we need to compare their slopes.
The first equation, y = 4x - 2, is in slope-intercept form y = mx + b, where m is the slope. The slope of this equation is 4.
The second equation, -x + 4y = 0, can be rewritten in slope-intercept form by solving for y. Adding x to both sides and dividing by 4, we get y = (1/4)x. The slope of this equation is 1/4.
Since the slopes of the two equations are different (4 and 1/4), the graphs of the equations are neither parallel nor 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
Neither
1 answer