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
steposvetlana [31]
3 years ago
5

Find the equation of the line passing through the points (8,-16) and (1,5)

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:

y = -3x + 8

Step-by-step explanation:

First, find the slope using rise/run

21/-7

= -3

Then, find the y-intercept by using the slope and by plugging in a point

5 = -3(1) + b

5 = -3 + b

8 = b

So, the equation will be:

y = -3x + 8

balu736 [363]3 years ago
8 0

Hey there! :)

Answer:

y = -3x + 8.

Step-by-step explanation:

Use the slope formula to solve for the slope:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the coordinates:

m =  \frac{-16-5}{8 - 1}

Simplify:

m =  \frac{-21}{7}

m = -3.

Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:

5 = -3(1) + b

5 = -3 + b

b = 8.

Rewrite the equation:

y = -3x + 8.

You might be interested in
Can someone help me with 3
attashe74 [19]

Area = Length x Width

72 = Length x 6

Length = 12

5 0
3 years ago
Solve the proportion
Vanyuwa [196]

W is equal to 19/4 or 4.75

Hope this helps! :)

7 0
3 years ago
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
Last year at a certain high school, there were 75 boys on the honor roll and 50 girls on the honor roll. This year, the number o
Fantom [35]

In linear equation, 15.2% did the total number of students on the honor roll decrease.

What in mathematics is a linear equation?

  • A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
  • Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

50 × 24% = 12

50 × 14%= 7

12+ 7 = 19

50+75 = 125

19 ÷125= 15.2%

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

8 0
1 year ago
Find the missing numbers is 7 and 9 and 10 right if not what are the answers for 7 and 9 and 8 and 10 please help me ?
Black_prince [1.1K]
#8 is 10, all other answers are correct

6 0
3 years ago
Other questions:
  • Henry is making a recipe for biscuits. A recipe calls for 5/10 kilogram flour and 9/100 kilogram sugar.how much sugar and flour
    14·1 answer
  • Mike took a taxi from his home to the airport. The taxi driver charged an initail $6 plus $3 per mile. The total fare was $24, n
    13·1 answer
  • Which statement best describes (3 × 4) × 6 = 3 × (4 × 6)?
    5·1 answer
  • the second term in an arithmetic sequence is 10 and the fifth term is 22. If the first term is a1, what is an equation for the n
    10·1 answer
  • How many ways can 5 paintings be lined up on a wall?
    13·1 answer
  • WRITE AN SLOPE INTERCEPT FORM
    6·1 answer
  • While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the numbe
    8·2 answers
  • Can someone help its not that hard
    15·1 answer
  • Cos(x)&lt;.025<br> cos^2(x)&lt;.25<br> sin(x)&lt;.25<br> sin^2(x)&lt;.25 <br><br> PLZ HELP
    10·1 answer
  • HELP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!