Identify an equation in point-slope form for the line perpendicular to y = -1/3x - 6 that passes through (-1, 5).

Mathematics

2 answers:

sergiy2304 [10]4 years ago

5 0

Answer:

y-5=3(x+1)

apeks

Step-by-step explanation:

Korolek [52]4 years ago

3 0

Answer:

Correct choice is D

Step-by-step explanation:

The slope of the line $y=-\dfrac{1}{3}x-6$ is $-\dfrac{1}{3}.$

Perpendicular lines slopes satisfy the condtion:

$m_1\cdot m_2=-1,$

then the slope of the perpendicular line is $3.$

The equation in point-slope form of the line that passes through the point (-1, 5) is

$y-5=3(x-(-1)),\\ \\y-5=3(x+1).$

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Answer:

Step-by-step explanation:

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