To determine the y-intercept of the graph of the equation [tex]\( y = -4x - 7 \)[/tex], we need to identify the point where the graph crosses the y-axis. This occurs when the value of [tex]\( x \)[/tex] is zero.
1. First, set [tex]\( x = 0 \)[/tex] in the equation [tex]\( y = -4x - 7 \)[/tex]:
[tex]\[
y = -4(0) - 7
\][/tex]
2. Simplify the expression:
[tex]\[
y = 0 - 7
\][/tex]
[tex]\[
y = -7
\][/tex]
3. The ordered pair representing the y-intercept is where [tex]\( x = 0 \)[/tex] and [tex]\( y = -7 \)[/tex]:
[tex]\[
(0, -7)
\][/tex]
Thus, the correct ordered pair is [tex]\( (0, -7) \)[/tex].
So, the answer is:
A. [tex]\( (0, -7) \)[/tex]
