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5) x-2y=8
A) -(1)/(2)
B) -2
C) 2
D) (1)/(2)"
Find the slop e of each line. 5) x-2y=8 A) -(1)/(2) B) -2 C) 2 D) (1)/(2)
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To find the slope of the line given by the equation $x-2y=8$, we need to rewrite the equation in slope-intercept form, which is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.<br /><br />Starting with the given equation:<br />$x-2y=8$<br /><br />Subtract $x$ from both sides:<br />$-2y=8-x$<br /><br />Divide both sides by $-2$:<br />$y=\frac{8-x}{-2}$<br /><br />Simplify the expression:<br />$y=-4+\frac{1}{2}x$<br /><br />Now, we can see that the slope of the line is $\frac{1}{2}$.<br /><br />Therefore, the correct answer is D) $\frac{1}{2}$.
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