Answer:
y = -1.5x - 3
Step-by-step explanation:
The slope-intercept form of a line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two of the points. I will be using the points (-2, 0) and (0, -3).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-3-0}{0-(-2)}[/tex]
= [tex]\frac{-3}{2}[/tex]
= -1.5
Now based on the graph, we see that the y-intercept is -3. Thus, the entire equation of the given line is: y = -1.5x - 3