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Is $(0, 0)$ a solution to the equation $y = 5x$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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

Full solution

Q. Is

(0, 0)

a solution to the equation

y = 5x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Equation Solutions: Understand what it means for a point to be a solution to an equation. $\newline$ A point is a solution to an equation if, when the $x$ and $y$ coordinates of the point are plugged into the equation, the equation is satisfied (both sides are equal).
Plug Coordinates into Equation: Plug the coordinates of the point $(0, 0)$ into the equation $y = 5x$ . For the point $(0, 0)$ , $x = 0$ and $y = 0$ . Substituting these values into the equation gives us $0 = 5(0)$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $5 \times 0 = 0$ , so the equation becomes $0 = 0$ .
Check Equation Satisfaction: Check if the equation is satisfied with the substituted values. $\newline$ Since $0$ equals $0$ , the equation is satisfied, which means that the point $(0, 0)$ is indeed a solution to the equation $y = 5x$ .

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

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(0, 4)

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?

\newline

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\newline

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\newline

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\newline

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\newline

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Question

Is the graph of this equation a horizontal or vertical line?

\newline

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\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 2 months ago

Question

Rewrite the following equation in standard form.

\newline

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\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

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Question

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\newline

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\newline

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