Part 1: The equation of the line is 
Part 2: The equation of the line in slope intercept form is 
Explanation:
Part 1: It is given that the point A is
and the line B is 
To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.
From the equation of line B, the slope is 
Substituting the point
and
in slope intercept form
, we have,



Thus, the y-intercept is 
Let us substitute the values
and
in the slope intercept form
, we get,

Thus, the equation of the line passing though point A and parallel to line B is 
Part 2: The given two coordinates are
and 
To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.
From the graph, we can see that the line touches the y-axis at -1.
Hence, the y-intercept is 
The formula for slope is 
Substituting the coordinates
and
, we have,

Thus, the slope is 
Substituting the values
and
in the slope intercept formula
, we get,

Thus, the equation of the line in slope intercept form is 