Final answer:
The point (0,1) does satisfy the equation y = 9x + 1 because after substituting x with 0, the resulting equation is 1 = 1, confirming the point is on the line described by the equation.
Step-by-step explanation:
The student asks whether the point (0,1) satisfies the equation y = 9x + 1. To determine if the point satisfies the equation, we substitute the x and y values from the point into the equation and see if the equation holds true.
Yes, the point (0,1) satisfies the equation y = 9x + 1.
To check if a point satisfies an equation, you substitute the values of x and y into the equation and see if the equation holds true. In this case, substitute the x-coordinate 0 and the y-coordinate 1 into the equation:
y = 9(0) + 1
Which simplifies to:
1 = 1
Since 1 is indeed equal to 1, we can conclude that the point (0,1) satisfies the equation.
Substituting x=0 and y=1, we get:
1 = 9(0) + 1
1 = 0 + 1
1 = 1
Since both sides of the equation are equal, we can confirm that the point (0,1) does indeed satisfy the equation y = 9x + 1.