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
Troyanec [42]
2 years ago
12

Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2,

6).
Mathematics
1 answer:
Gnesinka [82]2 years ago
6 0

1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:

m*(-4) = -1

-4m = -1

m = 1/4

2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:

y - y1 = m(x - x1)

y - 6 = (1/4)(x - 2)

y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))

y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)

y = (1/4)x + 11/2 (Evaluate -1/2 + 6)

Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2

You might be interested in
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

Now as in t=0 the bird has started from y-intercept value 3 so we can say that,the original distance of the bird from its nest is 3\ miles.

So the correct choices are:B and D

The birds speed is 0.2\ miles per minute and is 3\ miles away from its nest.

7 0
2 years ago
There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card
Verdich [7]

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

4 0
2 years ago
Coefficient of 24x+32+4x+3
coldgirl [10]

Firstly, you can combine like terms, or terms that have the same variable and exponents.


24x and 4x both have the variable "x" so it can be combined to make 28x


A coefficient is basically just the number that's used to multiply the variable

In this case, the variable is "x" and the number that will be multiplied to x is 28.


<em>The coefficient is 28.</em>

6 0
3 years ago
Y=-2x+3???????????????????????
Ksju [112]

Answer:

Step-by-step explanation:

make y=0

0=-2x+3 (Switch the 3 sides)

-3=-2x (Divide everything by -2, cant have a negative x)

2/3=x or 0.66=x

7 0
2 years ago
Y= 5x - 9; domain = { 1,3,7 }<br> what is the range values?
Maslowich

Answer:

Step-by-step explanation:

range = [-4,6,26]

Step-by-step explanation:

y = 5x - 9.....domain = [1,3,7]....the domain is ur x values, and I am assuming ur looking for the y values that go with the x ones

y = 5x - 9.....when ur domain (ur x) = 1

y = 5(1) - 9

y = 5 - 9

y = -4

y = 5x - 9...when ur domain (x) = 3

y = 5(3) - 9

y = 15 - 9

y = 6

y = 5x - 9...when ur domain(x) is 7

y = 5(7) - 9

y = 35 - 9

y = 26

so ur range (ur y valus) = [-4,6,26]

6 0
2 years ago
Other questions:
  • If 1 is added to the numerator and to the denominator of a fraction,the value obtained is 4/5.If 5 is subtracted from it's numer
    14·1 answer
  • PLEASE HELP!!!!!! the sum of a number times 10 and 15 is at most -17
    11·1 answer
  • Can someone please help me with this?
    7·1 answer
  • There are 42 pairs of shoes at the skate rental office.How many individual shoes are there in all?
    5·2 answers
  • Find the mean and median for this set of number: 80, 70, 60, 40, 80.
    9·2 answers
  • Simplify negative 4 over 5 ÷ 3 over negative 2.
    15·2 answers
  • Help please :)) thank you.
    8·1 answer
  • Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any m
    12·1 answer
  • Write an equation for the trend line shown (please help thanks)
    13·1 answer
  • I want the answer fast plz
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!