Question

A line that is perpendicular to y=-2/7x+9y and that passes through the point (4, -6)

Answer 1

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Find Slope :
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y = -2/7x + 9
Slope = -2/7
Perpendicular slope= 7/2

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Find y - intercept :
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y = mx + b
y = 7/2 x + b
At (4, -6)
-6 = 7/2 (4) + b
-6 = 14 + b
b = -6 - 14
b = -20

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Form equation :
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y = mx + b
y = 7/2 x - 20
2y = 7x - 40

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Answer: 2y = 7x - 40
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