Option A.
![y= -3x +3](/tpl/images/0477/5581/542c5.png)
Step-by-step explanation:
The equation of a line in the slope-intersection form is:
![y = mx + b](/tpl/images/0477/5581/dc5b0.png)
Where m is the slope and b is the intersection with the y axis.
Notice in the graph that the given line cuts to the y-axis at
.
This means that the value of b must be positive and equal to 3.
Therefore we can discard options B and D.
The equation will be:
![y = mx +3](/tpl/images/0477/5581/da2a5.png)
Now we need to find the slope m of the line.
Notice that the graph cuts to the x-axis at point (1.0)
Substitute this point in the equation and clear m.
![0 = m (1) +3](/tpl/images/0477/5581/85f37.png)
![m = -3](/tpl/images/0477/5581/6cc70.png)
Therefore the slope of the line is ![m = -3](/tpl/images/0477/5581/6cc70.png)
and the equation is:
![y = -3x +3](/tpl/images/0477/5581/0e7fa.png)