Answer:
5/2
Step-by-step explanation:
Here's how to find the slope of the perpendicular line:
Rewrite the given equation in slope-intercept form (y = mx + b):
Subtract 4x from both sides: 10y = -4x - 140
Divide both sides by 10: y = -4/10x - 14
Simplify: y = -2/5x - 14
Now we see the slope of the given line is -2/5.
Recall that perpendicular lines have slopes that are negative reciprocals of each other.
The negative reciprocal of -2/5 is 5/2.
Therefore, the slope of the line perpendicular to the given line is 5/2.
