**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