Question

According to the graph above, the equation of line c is

Answer 1

The Equation of a Straigth Line has the form:

`y=mx+b`

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:

`m=(y_2-y_1)/(x_2-x_1)`

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:

`m=(1-0)/(-2-0)=-(1)/(2)`

Answer:

`y=-(1)/(2)x`