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".
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
1 answer