What is the slope of a line of best fit if its equation is [tex]\( y = 5x - 4 \)[/tex]?

A. [tex]\(-4\)[/tex]
B. [tex]\(-\frac{1}{4}\)[/tex]
C. [tex]\(\frac{1}{5}\)[/tex]
D. [tex]\(5\)[/tex]



Answer :

To find the slope of a line from its equation, we need to examine the given equation in its standard linear form: [tex]\( y = mx + b \)[/tex], where [tex]\( m \)[/tex] represents the slope and [tex]\( b \)[/tex] represents the y-intercept.

Given the equation of the line:
[tex]\[ y = 5x - 4 \][/tex]

We can see that it is already in the standard linear form. By comparing it directly with [tex]\( y = mx + b \)[/tex], we identify the coefficient of [tex]\( x \)[/tex] as the slope [tex]\( m \)[/tex].

In this case:
[tex]\[ m = 5 \][/tex]

Therefore, the slope of the line of best fit is:
[tex]\[ 5 \][/tex]

The correct answer is:
[tex]\[ \boxed{5} \][/tex]

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