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The standard form for a linear equation is: ax + by + c = 0
Once we move all the variables and constants to one side, we get the standard form for a linear equation
[tex]y = \frac{2}{5} x - 7\\y -\frac{2}{5}x = -7\\ y - \frac{2}{5}x + 7 = 0\\[/tex]
Hope that helps!