To determine the slope of the line represented by the equation [tex]\( y = 2x - 5 \)[/tex], we need to recognize that this equation is in the slope-intercept form.
The slope-intercept form of a line is given by:
[tex]\[ y = mx + b \][/tex]
where [tex]\( m \)[/tex] is the slope of the line, and [tex]\( b \)[/tex] is the y-intercept.
In the equation [tex]\( y = 2x - 5 \)[/tex]:
- The coefficient of [tex]\( x \)[/tex] (which is 2) represents the slope ([tex]\( m \)[/tex]) of the line.
- The constant term (-5) represents the y-intercept ([tex]\( b \)[/tex]) of the line.
From this equation, the slope [tex]\( m \)[/tex] is clearly 2.
Hence, the correct answer is:
B) 2
