To determine if the lines are parallel, perpendicular, or neither, we need to find the slopes of both lines.
For the first equation y = -1/4x + 10, the slope is -1/4. For the second equation -2x + 8y = 6, we need to rearrange it to slope-intercept form, so 8y = 2x + 6 becomes y = 1/4x + 3/4. The slope of the second equation is 1/4.
Since the slopes are negative reciprocals of each other, the lines are perpendicular.
Answer: b. perpendicular
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –one fourthx + 10
–2x + 8y = 6
(1 point)
Responses
a. parallel
b. perpendicular
c. neither
1 answer