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What is the slope of the line represented by [tex]\( y = 2x - 5 \)[/tex]?

A. [tex]\( y \)[/tex]
B. 2
C. 5
D. -5

Sagot :

GinnyAnswer
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
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