Certainly! Let's determine the slope of the line given by the equation [tex]\(y = -7x\)[/tex].
The equation of a line is often written in the slope-intercept form:
[tex]\[ y = mx + b \][/tex]
where:
- [tex]\( m \)[/tex] represents the slope of the line
- [tex]\( b \)[/tex] represents the y-intercept of the line
In the given equation:
[tex]\[ y = -7x \][/tex]
We can see that this equation is already in the slope-intercept form, where [tex]\( m = -7 \)[/tex] and [tex]\( b = 0 \)[/tex] (since the equation can be rewritten as [tex]\( y = -7x + 0 \)[/tex]).
Thus, the slope [tex]\( m \)[/tex] of the line is:
[tex]\[ -7 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{-7} \][/tex]
