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In order to find the slope and y-intercept we must first put the equation into slope intercept formula. This formula is y=mx+b where m=slope and b=y-intercept. Taking the equation 7x+2y=10 you can figure out the slope intercept formula of y=(-7/2)x+5. Given that information the slope is -7/2 and the y-intercept is 5.

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