Question

Determine whether the pair of lines is​ parallel, perpendicular, or neither.
x-8y=-7
y=8x-7

Answer 1

We can compare the slopes of the lines to determine whether they are parallel, perpendicular, or neither.

For the first line, we can rewrite the equation in slope-intercept form (y = mx + b). Subtracting x from both sides, we have -8y = -x - 7. Dividing through by -8, we get y = (1/8)x + 7/8. Therefore, the slope of the first line is 1/8.

For the second line, the equation is already in slope-intercept form (y = mx + b), where the slope is 8.

Since the slopes are not equal or the negative reciprocal of each other, the lines are neither parallel nor perpendicular.