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What is the $x$ -coordinate of the $x$ intercept of the graph $4x-6y=12$ $\newline$ Show your work here: $\newline$ $(0,-2)$ $\newline$ $(3,0)$ $\newline$ $(4,6)$ $\newline$ There is no $x$ intercept

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Standard form: find x- and y-intercepts

Full solution

Q. What is the

x

-coordinate of the

x

intercept of the graph

4x-6y=12

\newline

Show your work here:

\newline

(0,-2)

\newline

(3,0)

\newline

(4,6)

\newline

There is no

x

intercept

Set $y$ to $0$ : To find the x-intercept, we set $y$ to $0$ and solve for $x$ .
$4x - 6(0) = 12$
$4x = 12$
Divide by $4$ : Now, we divide both sides of the equation by $4$ to solve for $x$ . $\frac{4x}{4} = \frac{12}{4}$ $x = 3$
Check solution: We have found the x-coordinate of the x-intercept to be $3$ . To check for any math errors, we can substitute $x$ back into the original equation to ensure it makes $y$ equal to $0$ . $\newline$ $4(3) - 6(0) = 12$ $\newline$ $12 = 12$ $\newline$ This confirms that our solution is correct.

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