Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = -4x + 3
-2x + 8y = 5
(1 point)
O parallel
perpendicular
neither
To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the lines.
First, let's find the slope of the first equation, y = -4x + 3.
The first equation is written in slope-intercept form y = mx + b, where m represents the slope of the line.
Comparing the equation y = -4x + 3 to y = mx + b, we can see that the slope, m, is -4.
Now, let's find the slope of the second equation, -2x + 8y = 5.
To find the slope, we need to rewrite the second equation in slope-intercept form.
-2x + 8y = 5
8y = 2x + 5
y = (2/8)x + 5/8
y = (1/4)x + 5/8
Comparing the equation y = (1/4)x + 5/8 to y = mx + b, we can see that the slope, m, is 1/4.
Now that we have the slopes of both lines, we can compare them.
The slope of the first equation is -4.
The slope of the second equation is 1/4.
Since the slopes are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular.
Therefore, the correct answer is neither.