For this case we have that by definition, the equation of a line of slope-intercept form is given by:
[tex]y = mx + b[/tex]
Where:
m: It is the slope, which can be found by having two points that cross the line: [tex](x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})[/tex].
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
b: It is the cut point with the y axis
If we have an equation of the form:[tex]y = -3x + 2[/tex]
So:
[tex]m = -3\\b = 2[/tex]
Thus, the slope of the line is[tex]m = -3[/tex]
Answer:
The slope of the line is [tex]m = -3[/tex]
