Is (2, 12)
a solution to the equation y=−6x?
No, (2, 12) is not a solution to the equation y = -6x.
To determine if a given point is a solution to an equation, we substitute the values of x and y into the equation and check if both sides are equal.
In this case, when x = 2, the equation becomes y = -6(2) = -12, which is not equal to 12.
Therefore, (2, 12) is not a solution to the equation y = -6x.
To check if (2,12) is a solution to the equation y = -6x, substitute the x and y values into the equation.
Step 1: Write the equation: y = -6x
Step 2: Substitute the x value (2) into the equation: y = -6(2)
Step 3: Simplify: y = -12
Step 4: Compare the result (y = -12) with the given y value (12).
Since -12 is not equal to 12, (2,12) is not a solution to the equation y = -6x.