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Does the point $(2, 0)$ satisfy the equation $y = 4x$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(2, 0)

satisfy the equation

y = 4x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(2,0)$ . The point $(2,0)$ gives us $x = 2$ and $y = 0$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = 4x$ . Substitute $2$ for $x$ and $0$ for $y$ in the equation $y = 4x$ . Equation after substitution: $0 = 4 \times 2$ .
Perform multiplication for verification: Perform the multiplication to check if the equation holds true. $\newline$ Calculate $4 \times 2$ which equals $8$ . $\newline$ Equation after calculation: $0 = 8$ .
Determine if equation is true: Determine if the equation $0 = 8$ is true. $\newline$ Since $0$ is not equal to $8$ , the equation does not hold true. $\newline$ Therefore, the point $(2, 0)$ does not satisfy the equation $y = 4x$ .

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\newline

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\newline

\newline

\text{(A)horizontal line}

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\newline

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