Question

What is the slope of a line that is perpendicular to the line whose equation is 3x 2y=6?

Answer 1

2/3  is the slope of a line that is perpendicular to the line whose equation is 3x 2y=6.

What is slope?

• Slope, Numerical measure of a line's inclination relative to the horizontal.
• In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

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

Therefore, the slope of the perpendicular line is 2/3.

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