The given equation of the line is:

$2x - 3 = y$

Step 1: Find the Slope

Rewriting the equation in slope-intercept form ($y = mx + b$):

$y = 2x - 3$

The slope ($m$) of this line is 2.

Step 2: Use the Point-Slope Formula

A parallel line must have the same slope, so it will also have $m = 2$. Using the point-slope form of a line:

$y - y_1 = m(x - x_1)$

where $(x_1, y_1) = (-5,3)$ and $m = 2$, we substitute:

$y - 3 = 2(x + 5)$

Step 3: Convert to Slope-Intercept Form

Expanding:

$y - 3 = 2x + 10$

$y = 2x + 13$

Final Answer:

The equation of the required parallel line is:

$y = 2x + 13$

Would you like a breakdown of any step?

Related Questions:

1. How do you find the equation of a perpendicular line instead?
2. What is the general form of the equation for this parallel line?
3. Can you determine where this line intersects the y-axis?
4. How do you graphically represent two parallel lines?
5. What is the distance between two parallel lines?

Tip: Parallel lines have the same slope but different $y$-intercepts!