Answer:
The equation in option A is correct.
Step-by-step explanation:
Given the equation

Let us find the solution by setting y=0



if 




solving



∵ 
solving




Hence, the solutions are:

Therefore, the equation in option A is correct.
Subtraction, you’d -6 to the other side and m=-10
Answers in bold:
- Regression equation: y = 1.2x - 21.3
- Final Answer: 33
=======================================================
Explanation:
I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.
The tool I used is GeoGebra and the regression equation it produced was
y = 1.2x - 21.3
Each decimal value is approximate and rounded to the nearest tenth.
---------------------------
Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.
y = 1.2x - 21.3
y = 1.2*45 - 21.3
y = 32.7
y = 33
If a student got a 45 on a homework, then we predict their test grade should be around 33.
You know that an expression is simplified when there are no like terms left to combine. But 2 - 3 can be simplified further, it equals -1
Comment
You can do this a number of ways.
The first way is to set up a proportion. That's very formal, and is most respected.
Proportion.
x / 60 = 1 / 10 The proportion is reduced by a factor of 10. Cross Multiply.
10 * x = 60 * 1
10x = 60 Divide by 10
x = 60/10
x = 6
Multiply by the scale factor.
Beginning number * scale factor = Final result.
60 * 1/10 = Final Result
60 * 1 / 10 = Final Result
Final Result = 6
This method words even when the numbers are quite complicated.