The Equation of a Straigth Line has the form:
[tex]y=mx+b[/tex]
where m is the slope and b the intersection with the vertical axis (y-axis).
As we can see based on the graph, b = 0, and m can be calculated as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To use the latter, we have to choose two points from the graph. For example, assuming that each square from the graph represents one unit:
• (0,0)
,
• (-2,1)
Replacing these coordinates:
[tex]m=\frac{1-0}{-2-0}=-\frac{1}{2}[/tex]
Answer:
[tex]y=-\frac{1}{2}x[/tex]
