Which equation is written in slope-intercept form? y=3x-2 x=(1)/(2)y+8 2x+5y=12 3y=8x-5

The slope-intercept form of a linear equation is written as $y = mx + b$, where $m$ represents the slope and $b$ represents the y-intercept.<br /><br />Let's analyze each equation:<br /><br />1. $y = 3x - 2$: This equation is in slope-intercept form, with a slope of 3 and a y-intercept of -2.<br /><br />2. $x = \frac{1}{2}y + 8$: This equation is not in slope-intercept form. It can be rearranged to $y = 2x - 16$.<br /><br />3. $2x + 5y = 12$: This equation is not in slope-intercept form. It can be rearranged to $y = -\frac{2}{5}x + \frac{12}{5}$.<br /><br />4. $3y = 8x - 5$: This equation is not in slope-intercept form. It can be rearranged to $y = \frac{8}{3}x - \frac{5}{3}$.<br /><br />Therefore, the equation written in slope-intercept form is $y = 3x - 2$.