Answer:
y=2x-3
Step-by-step explanation:
1. The condition that the line is parallel tells you the slope: it will be the same in parallel lines. You now have an equatipn of the new line:
y=mx+b, in which m is slope, which you know:
y=2x+b
2. (0,-3) is a coordinate (x,y), so plug these in for x and y in your equation to solve for b, the y-intercept
-3=2(0)+b Anything multiplied by zero is zero
-3=0+b
-3=b
3. Rewrite the new equation with your known m and b values
y=2x-3
*NOTE* In this specific problem, there was a shortcut: since (0,-3) is on the y-axis, you know that it is the y-intercept, and the y-value of that point is b, so you could have gotten -3 without any calculations
