To find the slope of the equation [tex]\( y - 3 = -4(x - 5) \)[/tex], we need to identify its format. This equation is in the point-slope form of a linear equation, which is:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]
where:
- [tex]\( (x_1, y_1) \)[/tex] is a point on the line, and
- [tex]\( m \)[/tex] is the slope of the line.
In the given equation [tex]\( y - 3 = -4(x - 5) \)[/tex]:
- [tex]\( y_1 \)[/tex] is 3
- [tex]\( x_1 \)[/tex] is 5
- [tex]\( m \)[/tex], the slope, is the coefficient of [tex]\((x - x_1)\)[/tex], which is [tex]\(-4\)[/tex].
Therefore, the slope of the equation [tex]\( y - 3 = -4(x - 5) \)[/tex] is [tex]\(-4\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{-4} \][/tex]
