Which expression has the same value as \( 5 x+(-4 y) ? \)
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The Deep Dive
A fantastic way to rewrite the expression \( 5x + (-4y) \) is simply \( 5x - 4y \). This simplifies things a bit and makes it clearer that you're subtracting \( 4y \) from \( 5x \). It's like tidying up your room—everything looks a bit better when it’s in order! Now, if you were plotting this expression on a graph, it would represent a linear relationship. The expression can be interpreted as a line with a slope of \( \frac{5}{-4} \) and a y-intercept at zero, illustrating how changes in \( x \) affect \( y \). Graphing helps visualize how different expressions can have equivalent values but represent different relationships!