To determine the slope of the given linear equation [tex]\( y = 2x - 8 \)[/tex], let's follow these steps:
1. Identify the Standard Form of the Linear Equation:
The equation given is already in slope-intercept form, which is [tex]\( y = mx + b \)[/tex]. In this form, [tex]\( m \)[/tex] represents the slope of the line, and [tex]\( b \)[/tex] represents the y-intercept.
2. Extract the Slope:
By comparing the given equation [tex]\( y = 2x - 8 \)[/tex] to the slope-intercept form [tex]\( y = mx + b \)[/tex], we can see that:
- [tex]\( m \)[/tex] (the slope) corresponds to the coefficient of [tex]\( x \)[/tex].
- In this case, [tex]\( m = 2 \)[/tex].
3. Conclusion:
The slope of the line [tex]\( y = 2x - 8 \)[/tex] is [tex]\( 2 \)[/tex].
Therefore, the slope of the line is [tex]\(\boxed{2}\)[/tex].
