Answer:
y = 5x - 6
Step-by-step explanation:
1. In a linear equation, it is represented by y = mx + b
2. A line parallel to another has the same slope (m) but a different y-intercept (b)
3. So we know that it is y = 5x as the first half. However, we need to find the new y-intercept.
4. Let's plug in the point we know into the equation, and see what amount we are missing (the y-intercept)
5. y = 5(3)
6. y = 15, however, we know that y = 9. That's a difference of -6.
This shows us that the y-intercept is -6 making the full equation:
y = 5x - 6
We can check by putting the point back into the equation:
y = 5(3) - 6
y = 15 - 6
y = 9
This correlates with the original point, we have solved the equation.
