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What is the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = 5x - 21 \)[/tex]?

A. [tex]\((0, -21)\)[/tex]
B. [tex]\((0, 21)\)[/tex]
C. [tex]\((0, 5)\)[/tex]
D. [tex]\((0, -5)\)[/tex]

Sagot :

GinnyAnswer
To determine the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = 5x - 21 \)[/tex], we need to find the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\( 0 \)[/tex].

The [tex]\( y \)[/tex]-intercept is the point where the line crosses the [tex]\( y \)[/tex]-axis. By definition, this occurs when [tex]\( x = 0 \)[/tex].

Let's substitute [tex]\( x = 0 \)[/tex] into the equation:

[tex]\[ y = 5x - 21 \][/tex]

Substituting [tex]\( x = 0 \)[/tex]:

[tex]\[ y = 5(0) - 21 \][/tex]

[tex]\[ y = -21 \][/tex]

Therefore, the [tex]\( y \)[/tex]-intercept is the point [tex]\((0, -21)\)[/tex].

The correct answer is:
A. [tex]\((0, -21)\)[/tex]
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