Answer:
y = 3x + 6
Explanation:
To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:
y = mx + b
y = 3x + b
-3 = 3(-3) + b
-3 = -9 + b
Add 9 to both sides to isolate the b:
-3 + 9 = -9 + 9 + b
6 = b
The y-intercept is 6. Let's put that into our equation:
y = 3x + 6
Now we have our answer :)