To determine the slope of the line given by the equation [tex]\(y = -2x + 3\)[/tex], let's analyze the equation more closely.
The equation of the line is given in the slope-intercept form, which is:
[tex]\[y = mx + b\][/tex]
In this form, [tex]\(m\)[/tex] represents the slope of the line, and [tex]\(b\)[/tex] represents the y-intercept, which is where the line crosses the y-axis.
Comparing the given line equation [tex]\(y = -2x + 3\)[/tex] with the slope-intercept form [tex]\(y = mx + b\)[/tex]:
- The term [tex]\(-2x\)[/tex] corresponds to [tex]\(mx\)[/tex], indicating that the coefficient [tex]\(m\)[/tex] is [tex]\(-2\)[/tex].
Thus, the slope [tex]\(m\)[/tex] of the line [tex]\(y = -2x + 3\)[/tex] is [tex]\(-2\)[/tex].
Therefore, the correct answer is:
D. [tex]\(-2\)[/tex]
