To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the lines.
For the first equation, y = -1/4x + 10, the slope is -1/4.
For the second equation, -2x + 8y = 6, we need to solve for y in order to find the slope-intercept form.
Rearranging the equation, we get:
8y = 2x + 6
y = 1/4x + 3/4
The slope of the second equation is 1/4.
Since the slopes are negative reciprocals of each other (-1/4 and 1/4), the lines are perpendicular.
Thus, the answer is B. perpendicular.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –1/4x + 10
-2x + 8y = 6
A. parallel
B. perpendicular
C. neither
1 answer