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
san4es73 [151]
3 years ago
5

18) Write an equation of the line that is perpendicular to the line y = 4x - 10 that passes through the point (-16, 2). A) y = -

1 4 x - 2 B) y = -4x + 6 C) y = - 1 4 x + 2 D) y = 4x + 2
Mathematics
1 answer:
Kay [80]3 years ago
3 0

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be negative reciprocals of each other. (flip the sign +/- and the fraction(switch the numerator and the denominator))

For example:

Slope = 2 or  \frac{2}{1}

Perpendicular line's slope = -\frac{1}{2}  (flip the sign from + to - , and flip the fraction)

Slope = -\frac{1}{3}

Perpendicular line's slope = \frac{3}{1}  or  3  (flip the sign from - to +, and flip fraction)

y = 4x - 10     The slope is 4, so the perpendicular line's slope is -\frac{1}{4}.

Now that you know the slope, substitute/plug it into the equation.

y = mx + b

y=-\frac{1}{4}x+b   To find b, plug in the point (-16, 2) into the equation, then isolate/get the variable "b" by itself

2=-\frac{1}{4}(-16)+b  (two negative signs cancel each other out and become positive)

2 = 4 + b      Subtract 4 on both sides to get "b" by itself

2 - 4 = 4 - 4 + b

-2 = b

y=-\frac{1}{4}x-2     Your answer is A

You might be interested in
Estimate Width of a room in cm, m, or km
bearhunter [10]
The width of a room can be from around 15 cm to about 40 cm.
meaning 1 m
and about  less than 1/6 of a km
Hope it helped!
7 0
3 years ago
Look at the graph. which equation represents the graph?
Svetllana [295]
The correct answer is A
4 0
2 years ago
Re write the expressoin-21+7
blsea [12.9K]

Answer:

7-21

Step-by-step explanation:

if -a+b

is thesame according to laws of integers as

b-a

6 0
3 years ago
A toy company produces two kites whose shapes are geometrically similar. Find the length of the missing side of the smaller kite
docker41 [41]
M=30/22,5=1,33
m=25/x=1,33. ...>x=25/1,33=18,7
5 0
3 years ago
DO NOW
klasskru [66]

Answer:

slope is the rate at which a function progresses. y intercept a point that passes through they x axis when it is 0. ex) (0,9)

equation written as y=ax +b

b = y intercept

ax = slope

ax = y2-y1/x2-x1

take 2 random points

(0,3) (-2,0)

slope : 0-3/-2=0 = -3/-2 = 3/2

y intercept = 3 because x = 0 and y =3

<u>equation = y =3/2x + 3</u>

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which is the graph of the linear equation 3x - 4y = -12
    15·2 answers
  • Find the nth degree of polynomial
    7·1 answer
  • X/5=1/(x+4) solve for x
    9·1 answer
  • Solve <br> 2x – 4y = 12 <br> 3x – 6y = 21
    14·1 answer
  • Can you have a negative square? Why or Why not?
    8·2 answers
  • 3/4g=−12<br><br><br> Help me plz
    11·2 answers
  • Ms. Handcox took 36 of the 45 students to
    9·1 answer
  • Any help giving brainless
    9·1 answer
  • The point (5,6) is the solution to which of the following systems of equations
    7·1 answer
  • 2(-2x + 2) + x + 3 = 37
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!