Answer:
Equation of the line in slope-intercept form: [tex]y = -3\, x + 5[/tex].
Step-by-step explanation:
Consider the point-slope equation of a line. If [tex]m[/tex] is the slope of the line and [tex](x_0,\, y_0)[/tex] is a point on the line, then the equation of the line will be:
[tex]\displaystyle \frac{y - y_0}{x - x_0} = m[/tex].
In this question,
- [tex]m= -3[/tex],
- [tex]x_0 = 2[/tex],
- [tex]y_0 = -1[/tex].
The point-slope equation for this line will be:
[tex]\displaystyle \frac{y - (-1)}{x - 2} = -3[/tex].
Simplify to get:
[tex]y - (-1) = (-3) \, (x - 2)[/tex].
[tex]y + 1 = -3\, x + 6[/tex].
[tex]y = -3\, x + 5[/tex].
