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svetlana [45]
3 years ago
5

The given line passes through the points and (4, 1).

Mathematics
2 answers:
pashok25 [27]3 years ago
5 0

Answer:

y-3=-2(x+4)

Step-by-step explanation:

<u><em>The complete question is</em></u>

The given line passes through the points (−4, −3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(−4, −3) and (4, 1)

substitute the values

m=\frac{1+3}{4+4}

m=\frac{4}{8}

m=\frac{1}{2}

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

m_1*m_2=-1

we have

m_1=\frac{1}{2} ---> slope of the given line

so

m_2=-2 ---> slope of the perpendicular line to the given line

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-2

point\ (-4,3)

substitute

y-3=-2(x+4) ----> equation in point slope form

trasher [3.6K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

did the edge quiz

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