Answer:
![y=(1)/(2)x-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zskrtljiwu4xld9s2r1iyre179iv4m4lv8.png)
Explanation:
The equation of a line is y=mx+c, where m is the slope and c is the y-intercept (where the line crosses the y-axis).
Looking at the graph, we can see that the line crosses the y-axis at y=-3, so we know c= -3.
The slope of a line can be found by taking two points on the line,
and
, and subbing them into the formula
. Let's take the two points (2,-2) and (4:
![m=(y_(2)-y_(1))/(x_(2)-x_(1))=((-1)-(-2))/(4-2)=(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/5zosk079k6jseru8fpl73z5zp8qr1j96kc.png)
Therefore, since the equation of a line is y=mx+c, our answer is
![y=(1)/(2)x-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zskrtljiwu4xld9s2r1iyre179iv4m4lv8.png)