To determine whether the lines are parallel, perpendicular, or neither, we need to compare their slopes.
The given equation y = -4x + 3 is in slope-intercept form, y = mx + b, where m is the slope. So, the slope of this line is -4.
To find the slope of the second equation -2x + 8y = 5, we need to rearrange it into slope-intercept form.
-2x + 8y = 5
8y = 2x + 5
y = 2/8x + 5/8
y = 1/4x + 5/8
From this equation, we can see that the slope is 1/4.
Since the slopes of the two lines are not equal or negative reciprocals of each other, the lines are neither parallel nor perpendicular.
Therefore, the answer is C. neither.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –4x + 3
–2x + 8y = 5
A. parallel
B. perpendicular
C. neither
1 answer