Determine wheter the graphs of the given equations are parallel, perpendicular, or neither
y=-2x+3
2x+y=7
Parallel
correct.
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 already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope is -2.
To rewrite the second equation, 2x + y = 7, in slope-intercept form, we need to isolate y. Subtracting 2x from both sides, we get y = -2x + 7. Comparing this equation to the first equation, we can see that the slope is also -2.
Since the slopes of both equations are equal (-2), the graphs of these equations are parallel.