Find the slope of a line perpendicular to the line whose equation is [tex]3y + 2x = 6[/tex].
Answer (2)
3 y + 2 x = 6 t h e s l o p e in t erce pt f or m i s : y = m x + b 3 y = − 2 x + 6 / : 3 y = − 3 2 x + 3 6 y = − 3 2 x + 2 m = − 3 2 A n s w er : s l o p e i s m = − 3 2
The slope of the line perpendicular to the line given by the equation 3 y + 2 x = 6 is 2 3 . This is determined by first converting the equation to slope-intercept form and then taking the negative reciprocal of the original slope. Thus, the final answer is 2 3 .
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