Answered

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What is the [tex]$y$[/tex]-intercept of the line [tex]$y = -6x - 3$[/tex]?

A. -6
B. 6
C. 3
D. -3

Sagot :

GinnyAnswer
To find the [tex]$y$[/tex]-intercept of the line defined by the equation [tex]\(y = -6x - 3\)[/tex], we need to determine the value of [tex]\(y\)[/tex] when [tex]\(x = 0\)[/tex].

The [tex]$y$[/tex]-intercept is the point where the line crosses the [tex]$y$[/tex]-axis. At this point, the value of [tex]\(x\)[/tex] is always zero.

1. Substitute [tex]\(x = 0\)[/tex] into the equation [tex]\(y = -6x - 3\)[/tex]:
[tex]\[ y = -6(0) - 3 \][/tex]

2. Simplify the equation:
[tex]\[ y = -3 \][/tex]

Therefore, the [tex]$y$[/tex]-intercept of the line [tex]\(y = -6x - 3\)[/tex] is [tex]\(-3\)[/tex].

The correct answer is:
D. [tex]\(-3\)[/tex]
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