Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y= -7/8x-1
32x - 28y = - 36
To determine whether the lines are parallel, perpendicular, or neither, we need to compare the slopes of the lines.
The given equation y = -7/8x - 1 is in slope-intercept form, y = mx + b, where m is the slope. Here, the slope is -7/8.
To determine the slope from the equation 32x - 28y = -36, we need to rewrite it in slope-intercept form.
32x - 28y = -36
-28y = -32x - 36
y = 32/28x + 36/28
Simplifying, we find that the slope of the second line is 4/7.
Comparing the two slopes, -7/8 and 4/7, we can see that they are not equal. Therefore, the lines are neither parallel nor perpendicular.