first, we can find the slope from the equation that is given buy solving the equation for y
3x+2y = 6
2y = 6-3x
y = 3-3/2x
y = -3/2x+3
now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2
perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have
-3/2 → 3/2 → 2/3
the slope of the perpendicular line is 2/3
hope this helped
Since this equation is already in standard form, there is no need to convert it. Standard form is Ax + By = C. In this equation, 3 = A, 2 = B, and 6 = C. From standard form, Ax + By = C equals negative A over B.
3x + 2y = 6
↓
[tex] \displaystyle\ m = -\frac{3}{2} [/tex]
The slope cannot be simplified any more, so this would be the final answer.
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- Marlon Nunez
