Does the point (1, 0) satisfy the equation y = 6x? Choices: (A)yes (B)no

Identify equation and point: Step 1: Identify the equation and the point to test. We have the equation y = 6x and the point (1, 0). We need to check if substituting x = 1 and y = 0 into the equation holds true. Substitute x into equation: Step 2: Substitute x = 1 into the equation y = 6x. Substituting, we get y = 6 * 1 = 6. Compare y-values: Step 3: Compare the calculated y-value with the y-coordinate of the point. The calculated y-value is 6, but the y-coordinate of the point is 0. Since 6 does not equal 0, the point (1, 0) does not satisfy the equation y = 6x.

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Does the point $(1, 0)$ satisfy the equation $y = 6x$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 8

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

Full solution

Q. Does the point

(1, 0)

satisfy the equation

y = 6x

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify equation and point: Step $1$ : Identify the equation and the point to test. $\newline$ We have the equation $y = 6x$ and the point $(1, 0)$ . We need to check if substituting $x = 1$ and $y = 0$ into the equation holds true.
Substitute $x$ into equation: Step $2$ : Substitute $x = 1$ into the equation $y = 6x$ . Substituting, we get $y = 6 \times 1 = 6$ .
Compare y-values: Step $3$ : Compare the calculated y-value with the y-coordinate of the point. The calculated y-value is $6$ , but the y-coordinate of the point is $0$ . Since $6$ does not equal $0$ , the point $(1, 0)$ does not satisfy the equation $y = 6x$ .