Answer:
The slope of the line perpendicular to the given line is -1/2
Step-by-step explanation:
Given the line:
2x - y = -8
We need to write this equation in the form:
y = mx + c
so that we can identify the slope, m.
Multiply both sides of the equation by -1
y - 2x = 8
Add 2x to both sides
y = 2x + 8
The slope here is 2
The slope of the line perpendicular to the given line is the negative reciprocal of the slope of the given line.
The negative reciprocal of 2 is -1/2
This is the slope we need to find.