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Question 17 of 42

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

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

Sagot :

GinnyAnsweridn
To determine the [tex]\( y \)[/tex]-intercept of the line given by the equation [tex]\( y = -6x - 3 \)[/tex], we need to recall the standard form of a linear equation in slope-intercept form, which is:

[tex]\[ y = mx + b \][/tex]

Here, [tex]\( m \)[/tex] represents the slope of the line, and [tex]\( b \)[/tex] represents the [tex]\( y \)[/tex]-intercept.

In the given equation [tex]\( y = -6x - 3 \)[/tex]:
- The coefficient of [tex]\( x \)[/tex] is [tex]\(-6\)[/tex], which is the slope [tex]\( m \)[/tex].
- The constant term [tex]\(-3\)[/tex] corresponds to [tex]\( b \)[/tex], which is the [tex]\( y \)[/tex]-intercept.

Thus, the [tex]\( y \)[/tex]-intercept of the line [tex]\( y = -6x - 3 \)[/tex] is:
[tex]\[ b = -3 \][/tex]

So, the correct answer is:

A. -3
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