Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y equals negative 2 x plus 3.
2 x plus y equals 7.
(1 point)
Responses
Parallel
Parallel
Perpendicular
Perpendicular
Neither
To determine whether the graphs of the given equations are parallel, perpendicular, or neither, we need to compare their slopes.
The first equation, y = -2x + 3, is in slope-intercept form (y = mx + b) where the coefficient of x (-2) represents the slope.
The second equation, 2x + y = 7, can be rearranged into slope-intercept form as y = -2x + 7. Again, the coefficient of x (-2) represents the slope.
Since the slopes of both equations are the same (-2), the graphs of the equations are parallel. Therefore, the answer is "Parallel".