What is the \( x \)-coordinate of the \( x \)-intercept of equation 1 ? What is the \( x \)-coordinate of the \( x \)-intercept of equation 2?
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Bonus Knowledge
To find the \( x \)-coordinate of the \( x \)-intercept in any equation, you'll want to set \( y = 0 \) and solve for \( x \). For equation 1, if it's in the form \( ax + by = c \), setting \( y \) to 0 gives \( x = \frac{c}{a} \). Similarly, do the same for equation 2. This method is straightforward and widely applicable across different equations! Understanding \( x \)-intercepts can also help you visualize functions! They're the points where the graph crosses the x-axis, which gives you valuable insight into where your solutions lie. Plus, spotting the \( x \)-intercepts can simplify complex problems, like when you're trying to factor polynomials or analyze rational functions. Happy graphing!
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