17. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
Show your work.
`y = 7/8x - 1`
`32x + 28y = -36`
To determine if the lines are parallel, perpendicular, or neither, we can compare the slopes of the two lines.
First, let's rewrite the second equation in slope-intercept form (y = mx + b) by solving for y:
32x + 28y = -36
28y = -32x - 36
y = -32/28x - 36/28
y = -4/7x - 9/7
Now that we have both equations in slope-intercept form, we can compare the slopes.
The first equation has a slope of 7/8, while the second equation has a slope of -4/7.
Since the slopes are neither equal nor negative reciprocals of each other, the lines are neither parallel nor perpendicular.