Answer:
[tex]y=\frac{1}{4}x-2[/tex]
Step-by-step explanation:
We are given that a coordinate plane with line passing through the points (0,-2) and (4,-1).
We have to find the equation which represents the graphed function.
We know that
The equation of line which passing through two points is given by
[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Now using this formula ,
Then, the equation of line which passing through the point (0,-2) and (4,-1) is given by
[tex]y-(-2)=(\frac{-1+2}{4-0})(x-0)[/tex]
[tex]y+2=\frac{1}{4}x[/tex]
[tex]y=\frac{1}{4}x-2[/tex]
Hence, the equation that represents the graphed function is given by
[tex]y=\frac{1}{4}x-2[/tex]
