1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ilia_Sergeevich [38]
3 years ago
15

What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x − 6y = 15?

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

<u>Given:</u>

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is 4 x-6 y=15

We need to determine the equation of the line.

<u>Slope</u>:

Let us convert the equation to slope - intercept form.

-6 y=15-4x

   y=\frac{2}{3}x-\frac{5}{2}

From the above equation, the slope is m_1=\frac{2}{3}

Since, the lines  are perpendicular, the slope of the line can be determined using the formula,

m_1 \cdot m_2=-1

  \frac{2}{3} \cdot m_2=-1

      m_2=-\frac{3}{2}

Therefore, the slope of the equation is m=-\frac{3}{2}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (6,9) and the slope m=-\frac{3}{2} in the above formula, we get;

y-9=-\frac{3}{2}(x-6)

Simplifying the terms, we get;

2(y-9)=-3(x-6)

2y-18=-3x+18

3x+2y=36

Thus, the equation of the line is 3x+2y=36

You might be interested in
Find the measure of the missing angles.
Karolina [17]

Answer:

angles b and c should be 153° each.

Step-by-step explanation:

We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°

4 0
3 years ago
Please help me. Any help is greatly appreciated
iragen [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help please?!!!!
xeze [42]

Answer: It is true.

Step-by-step explanation:

8 x 8=64

6x8=48

64-48=16

4x12=48

16 is in fact less than 48

5 0
2 years ago
Read 2 more answers
If $41 is invested in an account that compounds interest annually at 9.4%, what would the balance be in 5 years rounded to the n
mel-nik [20]
A=41×(1+0.094)^(5)
A=64.25
4 0
3 years ago
O points
Aloiza [94]

Answer:

1/2

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • I need help with this 8(y+4)=7y+38
    5·1 answer
  • A circle has a circumference of 6. It has an arc of length
    10·1 answer
  • Meredith solved a quadratic equation. Her work is shown below.
    8·1 answer
  • If A=(0,0) and B=(6,3), what is the length of AB?
    11·1 answer
  • 10. How much water can Th swimming pool hold 9 yd. 8 yd.
    7·1 answer
  • What is the answer to 2 pounds = ounces
    12·2 answers
  • The height of a triangle is 6 m more than its base. The area of the triangle is 56 m?. What is the length of the base? Enter you
    10·1 answer
  • What’s the correct answer for this?
    12·1 answer
  • Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius
    5·1 answer
  • Write an inequality to describe the region. The region between the yz-plane and the vertical plane x = 5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!