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
lys-0071 [83]
3 years ago
8

what is the slope intercept form of a line that is perpendicular to y = x + 3 and passes through point (2, -4)

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

The equation of the perpendicular line is y = -x - 2

Step-by-step explanation:

* Lets revise the form of the slope intercept for

- The slope intercept form is y = mx + b, where m is the slope of

  the line and b is the y-intercept

* Now lets revise the relation between the slopes of the

 perpendicular lines

- If two lines are perpendicular, then the product of their slopes is -1

# Ex: If line L has slope m1 and line K has slope m2, and L ⊥ K

∴ m1 × m2 = -1

∴ m2 = -1/m1

* Now lets solve the problem

- We need to find the equation of the line which is perpendicular to

 the line whose equation is y = x + 3 and passes through point (2 , -4)

- Find the slope of the given equation

∵ y = x + 3

- In this form the slope is the coefficient of x

∴ m = 1

- Find the slope of the perpendicular line

∵ The slope of the perpendicular line = -1/m

∴ The slope of it = -1/1 = -1

- Write the equation of the line with the value of the slope

∴ y = -x + b

- To find the value of b substitute x , y in the equation by the x and

  y of the given point

∵ The line passes through point (2 , -4)

∵ y = -x + b

∴ -4 = -1(2) + b

∴ -4 = -2 + b ⇒ add 2 for both sides

∴ b = -2

- Write the equation with the value of b

∴ y = -x - 2

You might be interested in
Evaluate 0.67y + 4 when y = 2 and when y = -2
jarptica [38.1K]

Answer:

2.66 and 4.34

Step-by-step explanation:

To evaluate, substitute the values of y and solve.

So, when y =-2

0.67y + 4 = -1.34 + 4 = 2.66

And when y = 2

0.67y + 4 = 1.34 + 4 = 4.34

Hope this helps.

5 0
3 years ago
Read 2 more answers
A _____________________________ has a constant change in the x values and a constant ratio in the y values.
Charra [1.4K]
Hamburgerrrrrrrrrrrrrrrrrr
3 0
3 years ago
Ming rented a bike from Ted's Bikes. It cost $13 plus $3 per hour. If Ming paid $31,
NeX [460]

Answer:

C, 6

Step-by-step explanation:

31-13 is 18, 18/3 is 6.

8 0
3 years ago
Read 2 more answers
Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
Plz help, will mark brainliest!
eimsori [14]

Answer:

the answer is "B" (thank me later) ;))

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the difference between factoring and solving ?
    6·1 answer
  • The quotient of a number and 0.2 is -2.6
    13·1 answer
  • What is the value of x
    12·1 answer
  • A tire has a diameter of 22". How far will the tire travel in 3 rotations?
    11·2 answers
  • . Write an equation of the line that passes through the given points use point
    7·1 answer
  • Convert 58 to a percent.<br><br> Do not include the "%" sign in your answer.
    11·2 answers
  • (0,8)<br> (-2,0). What is the equation of the linear graph shown?
    5·1 answer
  • 60 points! No links or cheaters! I need a serious answer! Someone please help me I need to bump up my grade!
    14·1 answer
  • For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of
    12·1 answer
  • Type the correct question of the line
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!