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Andru [333]
2 years ago
8

Find the equation for the line that passes through the point (−2,0), and that is perpendicular to the line with the equation 2/3

x+y=−14/3.
Mathematics
1 answer:
patriot [66]2 years ago
5 0

Answer:

y = 3/2 x + 3

Step-by-step explanation:

2/3 x + y = -14/3

y = -2/3 x − 14/3

The slope of this line is -2/3.  So the perpendicular slope is the opposite of the inverse:

m = -1 / (-2/3)

m = 3/2

We know the slope of the line and a point on the line, so using point-slope form:

y − 0 = 3/2 (x − (-2))

Simplifying into slope-intercept form:

y = 3/2 (x + 2)

y = 3/2 x + 3

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