Answer:
y = 4x + 3 
Step-by-step explanation:
We are given the line shown in your question.
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
As we are given the graph of the line, we can pick any 2 points to help us find the equation; in this case, let's take (0,3) and (-1, -1). 
First, we need to find the slope of the line
The slope (m) can be found using the equation  , where
, where  and
 and  are points
 are points
Let's label the values of the points to avoid confusion and mistakes before calculating. 

Now substitute these values into the equation for the slope
m=
m=
Subtract
m=
Divide
m = 4 
The slope of the line is 4
Here is the equation of the line so far: 
y = 4x + b
Now we need to find b
As stated above, b is the value of y at the y intercept; the y intercept is the point where the line intersects with the y axis. The value of x at this point is 0
One of the points we used to calculate the slope was actually the y intercept point; this point is (0, 3). The value of y at this point is 3, so the value of b is 3
Substitute 3 as b in our equation 
y = 4x + 3 
Topic: finding the equation of the line