Answer:
The required slope is equal to -1/2.
Step-by-step explanation:
The given equation of line is :
x + 2y = 10
A line parallel to this line has the same slope. To determine the slope, solve for y to change the equation to slope-intercept form:
y = mx+b .....(1)
2y = 10 -x
Dividing both sides by 2.
[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)
Comparing equations (1) and (2),
m = -1/2
Hence, the required slope is equal to -1/2.