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Does the point $(4, 3)$ satisfy the equation $y = 6x$ ? $\newline$ 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

(4, 3)

satisfy the equation

y = 6x

?

\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 into Equation: Substitute the $x$ and $y$ values of the point $(4, 3)$ into the equation $y = 6x$ . $\newline$ Substitute $x = 4$ into the equation to find the expected $y$ value. $\newline$ Expected $y$ value = $6 \times 4 = 24$
Compare Expected and Actual Values: Compare the expected $y$ value with the $y$ value of the point. $\newline$ The $y$ value from the point $(4, 3)$ is $3$ . $\newline$ The expected $y$ value we calculated is $24$ . $\newline$ Since $3$ does not equal $24$ , the point $(4, 3)$ does not satisfy the equation $y$ $0$ .

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\newline

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\newline

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\text{(A)horizontal line}

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\newline

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