To determine whether the pair of lines is parallel, perpendicular, or neither, we need to examine the slopes of the lines.
The given equations are in the form of Ax + By = C, where A, B, and C are constants.
For the first equation x - 4y = -2, we can rearrange it to slope-intercept form y = mx + b by isolating y:
x - 4y = -2
-4y = -x - 2
y = (1/4)x + 1/2
From this equation, we can see that the slope of the first line is 1/4.
For the second equation y = 8x - 9, we can also see that the slope of the second line is 8.
Now, comparing the slopes of the two lines, we can see that the slopes are not equal (1/4 is not equal to 8). Therefore, the lines are not parallel.
Since the product of the slopes is not -1 (1/4 multiplied by 8 is not -1), the lines are also not perpendicular.
Therefore, the pair of lines x - 4y = -2 and y = 8x - 9 are neither parallel nor perpendicular.
Determine whether the pair of lines is parallel, perpendicular, or neither.
x - 4y = -2
y = 8x - 9
1 answer