Pergunta
Determine the slope and the y-intercept of the following equation. 2x-y=5 The slope is square (Type-an integer or a simplified fraction.) The y-intercept is square (Type an ordered pair using integers or fractions.)
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AurelioElite · Tutor por 8 anos
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To determine the slope and the y-intercept of the equation \(2x - y = 5\), we first 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 />\[ 2x - y = 5 \]<br /><br />We solve for \(y\) by isolating it on one side of the equation:<br />\[ -y = -2x + 5 \]<br /><br />Next, we multiply both sides by \(-1\) to get \(y\) by itself:<br />\[ y = 2x - 5 \]<br /><br />Now the equation is in slope-intercept form \(y = mx + b\), where \(m = 2\) and \(b = -5\).<br /><br />So, the slope is \(2\) and the y-intercept is \((0, -5)\).<br /><br />The slope is \(2\).<br /><br />The y-intercept is \((0, -5)\).
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