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

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

Sagot :

GinnyAnswer
Let's determine the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = -6x - 3 \)[/tex].

The [tex]\( y \)[/tex]-intercept of a line is the point at which it crosses the [tex]\( y \)[/tex]-axis. This point occurs where [tex]\( x = 0 \)[/tex]. To find the [tex]\( y \)[/tex]-intercept, we will substitute [tex]\( x = 0 \)[/tex] into the equation and solve for [tex]\( y \)[/tex].

Given the equation:
[tex]\[ y = -6x - 3 \][/tex]

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

Step 2: Simplify the expression:
[tex]\[ y = -3 \][/tex]

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

So, the correct answer is:
A. [tex]\(-3\)[/tex]
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