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Give the slope-intercept form of the equation of the line that is perpendicular to 7x + 3y = 18 and contains P(6, 8).
a.
y – 6 = 3/7(x – 8)
c.
y = 3/7x+38/7
b.
y = 3/7x+18/7
d.
y – 8 = 3/7(x – 6)

Respuesta :

Equation: 7x + 3y = 18
3y = -7x + 18
Divide equation by 3, 
y = -7/3 + 6

Slope = -7/3
Perpendicular slope = 3/7  [ opposite & reciprocal ]

Now, y - y1 = m(x - x1)
y - 8 = 3/7 (x - 6)

In short, Your Answer would be Option D

Hope this helps!

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