Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y=-4x+3
and
-2x+8y=5
A. parallel
B. perpendicular
C. neither
I think parallel?
Perpendicular.
If you solve the system of equations, x= 19/34 and y= 13/17. The solution is their point of intersection. If there was no solution, they would be parallel.
Thank you!
two lines can intersect without being perpendicular ... like an X
To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the two equations.
The given equations are:
y = -4x + 3
-2x + 8y = 5
To find the slope of the first equation, we can observe that it is in slope-intercept form (y = mx + b), where m represents the slope of the line. In this case, the slope is -4.
To find the slope of the second equation, we rearrange it into slope-intercept form:
-2x + 8y = 5
8y = 2x + 5
y = (2/8)x + (5/8)
y = (1/4)x + (5/8)
Comparing the slopes, we have -4 for the first equation and 1/4 for the second equation.
Since the slopes are not equal (i.e., -4 is not equal to 1/4) and they are not negative reciprocals of each other, the lines are neither parallel nor perpendicular. Therefore, the answer is C. neither.