To determine whether the lines are parallel, perpendicular, or neither, we can compare the slopes of the two lines.
First, let's put the second equation in slope-intercept form (y = mx + b) by solving for y:
-2x + 8y = 5
8y = 2x + 5
y = (2/8)x + 5/8
y = (1/4)x + 5/8
From the first equation, we can see that its slope is -4. Therefore, the slope of the first equation is -4.
From the second equation, we can see that its slope is 1/4. Therefore, the slope of the second equation is 1/4.
Since the slopes are not equal, 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 (1 point) Responses
a.parallel
b. perpendicular
c.neither
1 answer