Question

Write the equation of the line that contains the points (1,2) and (-2,4).​

Answer 1

`y=-(2)/(3)x+(8)/(3) \ (slop-interception \ form).`

Explanation:

if A(1;2) and B(-2;4), then the required equation is:

`(x-X_B)/(X_A-X_B) =(y-Y_B)/(Y_A-Y_B) ;`

according to this formula, the required equation is:

`(x+2)/(1+2) =(y-4)/(2-4); \ => \ (x+2)/(3)=(y-4)/(-2); \ or \ y=-(2)/(3)x+(8)/(3).`