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.
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
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