Answer: -0.5.
Step-by-step explanation:
We know that the equation of a line in intercept form is given by :-
[tex]y=mx+c[/tex] , where m is the slope an d c is the y-intercept. (i)
The given equation of line : [tex]x + 2y = 16[/tex]
It can be written as :
[tex]2y=16-x\\\\\Rightarrow\ y=\dfrac{1}{2}(16-x)[/tex]
[tex]\Rightarrow\ y=8-\dfrac{1}{2}x\\\\\Rightarrow\ y=-0.5x+8[/tex]
On comparing it to (i) , we get m = -0.5
Hence, the slope of the line is -0.5.
Thus the correct answer is -0.5.
