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

Sagot :

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

The general form of a linear equation is [tex]\( y = mx + b \)[/tex], where:
- [tex]\( m \)[/tex] is the slope of the line.
- [tex]\( b \)[/tex] is the [tex]\( y \)[/tex]-intercept, which is the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is 0.

Given the equation [tex]\( y = 5x - 21 \)[/tex]:
- [tex]\( m \)[/tex] (the slope) is 5.
- [tex]\( b \)[/tex] (the [tex]\( y \)[/tex]-intercept) is -21.

To find the [tex]\( y \)[/tex]-intercept, substitute [tex]\( x = 0 \)[/tex] into the equation:
[tex]\[ y = 5(0) - 21 \][/tex]
[tex]\[ y = 0 - 21 \][/tex]
[tex]\[ y = -21 \][/tex]

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

The correct answer is:
A. [tex]\((0, -21)\)[/tex]
A because according to the information Gaven on the problem you are trying to solve on.
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