Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y =ー4x + 3
-2x + 8y=5
To determine whether two lines are parallel, perpendicular, or neither, we need to compare their slopes.
1) y = -4x + 3
The slope of this line is -4.
2) -2x + 8y = 5
To rewrite this equation in slope-intercept form (y = mx + b), we need to solve for y:
-2x + 8y = 5
8y = 2x + 5
y = 1/4x + 5/8
The slope of this line is 1/4.
Comparing the slopes:
-4 (slope of equation 1) does not equal 1/4 (slope of equation 2).
Since the slopes are not equal, the lines are neither parallel nor perpendicular.