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DaniilM [7]
3 years ago
11

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0

Answer:

its actually c

Step-by-step explanation:

harina [27]3 years ago
4 0

The equation of line is:

y=-\frac{1}{2}x+6

Further explanation:

Given

y = 2x + 2

Comparing it with standard form:

y=mx+b

Let m1 be the slope of given line

m_1=2

We know that product of slopes of two perpendicular lines is -1

Let m2 be the slope of second line

m_1.m_2=-1\\2*m_2= -1\\m_2 = -\frac{1}{2}

Putting the value of m2 in standard form

y=-\frac{1}{2}x+b

To find the value of b, putting (6,3) in equation

3=-\frac{1}{2}(6)+b\\3=-3+b\\3+3=b\\b=6

Putting the values of b and m, we get

y=-\frac{1}{2}x+6

The equation of line is:

y=-\frac{1}{2}x+6

Keywords: Slope, Point-slope form

Learn more about slope at:

  • brainly.com/question/2688526
  • brainly.com/question/2920401

#learnwithBrainly

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