Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3(x + 3) when graphed?

Question

(1, 11)


(-2, 5)


(-1, 9)


(-3, 1)

Answer 1

y -2 = 3(x+3)

 

Check the points (x,y) by plugging the values into the linear equation.

 

(1, 11):  11-2 = 3(1+3)

               9 = 3(4)

               9 = 12     NO

 

(-2, 5):  5-2 = 3(-2+3)

             3 = 3(1)

             3 = 3     YES

 

The point (-2, 5) falls on the graph of the line.  You can check the other two points also.