Answer:
[tex]y = -\frac13 x + 4\frac13[/tex]
Step-by-step explanation:
Hello!
Equation of a line: [tex]y = mx + b[/tex]
- y = output
- m = slope
- x = input
- b = y-intercept
We know that the slope and a point is given, and we just need to find the y-intercept.
Plug in the slope and the values of the point into the equation and solve for "b".
Solve for b
- [tex]y = mx + b[/tex]
- [tex]5 = -\frac13(-2) + b[/tex]
- [tex]5 = \frac23 + b[/tex]
- [tex]b = 4 \frac13[/tex]
The equation of the line is [tex]y = -\frac13 x + 4\frac13[/tex]
