If w is real then we need ignore negative sign and consider it as a mod value. So the answer will be 2
the answer would be -8<x<2
For this case we have:
By trigonometric property we have:

Where:

Substituting:

Clearing x we have:

Thus, the equation is: 
Answer:

“Four times the difference of a number and 7 is 32”
Translation-
4(x-7)=32
x intercept of 6 means (6,0) is on the line
y intercept of 0 means (0,0) is on the line
so the slope is (0-0)/(6-0) = 0
Answer: 0
Note: The question is actually bad; the line through the origin with slope zero is the X axis itself in which case it wouldn't be right to call the X intercept (just) (6,0).