What is the slope-intercept equation
for the following line?

Answer:
[tex]y=-\frac{1}{2}-3[/tex]
Step-by-step explanation:
Taking any two points, say (0,-3) and (2,-4), we can find the slope using the formula [tex]\frac{y_1-y_2}{x_1-x_2}[/tex], which gives
[tex]\frac{(-3)-(-4)}{0-2}=-\frac{1}{2}[/tex].
From the graph, we can see the y-intercept is [tex]-3[/tex], so the equation of the line is [tex]y=-\frac{1}{2}-3[/tex].