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Solve for $y($ e.g. $y=4 x)$ *
\[
2+3 y-4 x=3 x-2
\]
Your answer
Find the slope. *
\[
2+3 y-4 x=3 x-2
\]
Your answer
Solve for $y$. *
\[
2+3 y-4 x=3 x-2
\]
Your answer
Find the $x$-intercept $(x=0)$. *

Answer

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Answer

To find the $x$-intercept, set $y = 0$ and solve for $x$, giving $x = \boxed{4}$

Steps

Step 1 ：Rearrange the equation to group terms with $x$ and $y$ on one side and constants on the other side, giving $3y + 4x - 3x = 2 + 2$

Step 2 ：Simplify the equation to $y + x = 4$

Step 3 ：Solve for $y$ by subtracting $x$ from both sides, giving $y = 4 - x$

Step 4 ：To find the $x$-intercept, set $y = 0$ and solve for $x$, giving $x = \boxed{4}$