Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. y = –x + 10 –2x + 8y = 6 (1 point) Responses parallel pendicular neither
To determine whether the lines for each pair of equations are parallel, perpendicular, or neither, we need to compare their slopes.
The first equation is in slope-intercept form y = mx + b, where m is the slope. In this case, the slope is -1.
The second equation can be rearranged to slope-intercept form by isolating y: -2x + 8y = 6
8y = 2x + 6
y = (2/8)x + 6/8
y = (1/4)x + 3/4
Comparing the slopes, we see that the second equation has a slope of 1/4. Since the slopes are not equal or negative reciprocals, the lines are neither parallel nor perpendicular.