Answered

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What is the slope of the line given by the equation [tex]\( y = -7x \)[/tex]?

A. -7
B. [tex]\( -\frac{1}{7} \)[/tex]
C. 7
D. [tex]\( \frac{1}{7} \)[/tex]

Sagot :

GinnyAnswer
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]
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