Determine which three out of the six points shown below are a solution to the equation $3 x+2 y=12$. Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
\[
(4,0),(6,-3),(9,-1),(-2,-4),(7,2),(0,6)
\]
Plot three points by clicking. You can delete a point by clicking it.
Answer
Final Answer: The points that are solutions to the equation \(3 x+2 y=12\) are \(\boxed{(4, 0), (6, -3), (0, 6)}\).
Step 1 ：The given equation is in the form of a linear equation. To find out which points satisfy this equation, we can substitute the x and y coordinates of each point into the equation. If the equation holds true, then the point is a solution to the equation.
Step 2 ：Let's consider the points (4, 0), (6, -3), (9, -1), (-2, -4), (7, 2), (0, 6).
Step 3 ：Substituting these points into the equation, we find that the points (4, 0), (6, -3), (0, 6) satisfy the equation.
Step 4 ：Final Answer: The points that are solutions to the equation \(3 x+2 y=12\) are \(\boxed{(4, 0), (6, -3), (0, 6)}\).
