Answer:
The equation of the line (in slope-intercept form) is [tex]y=\frac{1}{3}x-4[/tex]
Step-by-step explanation:
We need two points to figure out the equation of the line given in the graph.
The two points we choose are (0,-4) and (3,-3) (we can choose any 2 points on the line)
The formula we are going to use to find the equation of this line is shown below:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Where
- [tex](x_1,y_1)[/tex] is the first point, and
- [tex](x_2,y_2)[/tex] is the second point
Plugging in the points noted above into the formula gives us:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-4)=\frac{-3-(-4)}{3-0}(x-0)\\y+4=\frac{-3+4}{3}(x)\\y+4=\frac{1}{3}x\\y=\frac{1}{3}x-4[/tex]
