Hi there!
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I believe your answer is:
[tex]m = -\frac{2}{5}[/tex]
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Here’s why:
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[tex]\text{We will convert the equation to slope intercept form.}\\\\2x + 5y = 10\\\rule{150}{0.5}\\\rightarrow 2x + 5y = 10\\\\\rightarrow 2x - 2x + 5y = 10-2x\\\\\rightarrow 5y = 10-2x\\\\\rightarrow 5y = -2x + 10\\\\\rightarrow\frac{5y=-2x+10}{5}\\\\\rightarrow\boxed{y = -\frac{2}{5}x+2}[/tex]
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Since [tex]-\frac{2}{5}[/tex] replaces 'm's spot, it is the slope of the given equation.
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Hope this helps you. I apologize if it’s incorrect.
