Aline passes through (3, –2) and (6, 2). a. write an equation for the line in point-slope form. b. rewrite the equation in standard form using integers. a. y minus 2 equals four thirds times the quantity x minus 3 end of quantity; negative 4 x plus 3 y equals 18. b. y plus 2 equals four thirds times the quantity x plus 3 end of quantity; negative 4 x plus 3 y equals negative eighteen. c. y minus 3 equals four thirds times the quantity x plus 2 end of quantity; negative 4 x plus 3 y equals 17. d. y plus 2 equals four thirds times the quantity x minus 3 end of quantity; negative 4 x plus 3 y equals negative eighteen.

Part A) ----> y plus equals four thirds times the quantity x minus end of quantity

Part B)   ---> negative plus equals negative eighteen

The answer is the option D

Step-by-step explanation:  

Part A) we know that

The equation of a line into point slope for is equal to

Find the slope

The formula to calculate the slope between two points is equal to

we have

Substitute the values

With the slope m and the point A find the equation of the line

-----> equation of the line into point slope form

Part B) we know that

The equation of the line into standard form is equal to

we have

------> convert to standard form

Multiply by both sides

----> equation of the line in standard form