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Does the point $(0, 1)$ satisfy the equation $y = 9x$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Is (x, y) a solution to the linear equation?

Full solution

Q. Does the point

(0, 1)

satisfy the equation

y = 9x

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand Equation Satisfaction: Understand what it means for a point to satisfy an equation. $\newline$ A point satisfies an equation if, when we substitute the $x$ and $y$ values of the point into the equation, the equation holds true.
Substitute Point Values: Substitute the $x$ and $y$ values of the point $(0, 1)$ into the equation $y = 9x$ . $\newline$ Substitute $x = 0$ and $y = 1$ into the equation to get $1 = 9(0)$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ Calculate $9(0)$ to get $0$ . So, we have $1 = 0$ .
Check Equation Truth: Check if the equation is true with the substituted values. $\newline$ Since $1$ does not equal $0$ , the equation $1 = 0$ is not true.
Determine Point Satisfaction: Determine if the point $(0, 1)$ satisfies the equation $y = 9x$ . Since the equation is not true after substituting the point $(0, 1)$ , the point does not satisfy the equation $y = 9x$ .

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