Answered

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What is the slope of the line represented by the equation [tex]$y=\frac{4}{5} x-3$[/tex]?

A. [tex]-3[/tex]
B. [tex]-\frac{4}{5}[/tex]
C. [tex]\frac{4}{5}[/tex]
D. [tex]3[/tex]

Sagot :

GinnyAnswer
To find the slope of a line represented by the equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], we need to identify the coefficient of [tex]\( x \)[/tex] in the equation. The general form of a linear equation is [tex]\( y = mx + b \)[/tex], where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept.

In the given equation [tex]\( y = \frac{4}{5} x - 3 \)[/tex], the coefficient of [tex]\( x \)[/tex] is [tex]\( \frac{4}{5} \)[/tex]. Therefore, the slope [tex]\( m \)[/tex] of the line is [tex]\( \frac{4}{5} \)[/tex].

So, the correct answer is [tex]\( \frac{4}{5} \)[/tex].
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