The equation of line shown in the graph is [tex]y = -\frac{1}{4} x-1[/tex].
How to find the equation of line from the two points?
If [tex](x_{1},y_{1} )[/tex] and [tex](x_{2} ,y_{2})[/tex] are the two points, then the equation of line through these points are given by
[tex](y - y_{1}) = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } (x-x_{1})[/tex]
According to the given question
We have a line on a graph.
The two points through which the line is passing are (-4, 0) and (4, -2).
Therefore, the equation of line passing through points (-4, 0) and (4, -2) is given by
[tex](y -0) = \frac{-2-0}{4+4}(x +4)[/tex]
⇒[tex]y = \frac{-2}{8} (x+4)[/tex]
⇒[tex]y = -\frac{1}{4} x -1[/tex]
Hence, the equation of line shown in the graph is [tex]y = -\frac{1}{4} x-1[/tex].
Learn more about the equation of line here:
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