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
salantis [7]
3 years ago
8

Where do (3/2,-7) and (-4,5) intercept

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

The intercept of the given points is -  \frac{41}{11}

Step-by-step explanation:

Given points as :

( x_1 , y_1 ) = ( \frac{3}{2} , - 7 )

( x_2 , y_2 ) = ( - 4 , 5 )

Now, slope of line using given points can be written as :

Slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}

or. m = \dfrac{5 - ( - 7 )}{( - 4 ) -  [tex]\frac{3}{2}}[/tex]

or, m = \dfrac{12}{( - 4 ) -  [tex]\frac{3}{2}}[/tex]

or, m = \frac{12}{\frac{- 8 - 3}{2}}

Or, m =  \frac{12}{\frac{- 11}{2}}

∴   m = \frac{-24}{11}

So, The slope of the line using points = m = \frac{-24}{11}

now, equation of line in slope intercept form can be written as

y - y_2 = m × ( x - x_2 )

or, y - 5 =  \frac{-24}{11} × ( x - ( - 4 ) )

or, y - 5 =  \frac{-24}{11} × ( x + 4 )

Or, 11 × ( y - 5 ) = - 24 × ( x + 4 )

Or, 11 y - 55 = - 24 x - 96

Or, 11 y = - 24 x - 96 + 55

Or, 11 y = - 24 x - 41

∴  y = \frac{-24}{11} x -  \frac{41}{11}

Now, comparing with slope intercept equation

I.e y = m x + c           , where c is the intercept

So, The intercept of points is  -  \frac{41}{11}

Hence The intercept of the given points is -  \frac{41}{11} Answer

You might be interested in
6. How much more is (6.48 x 10^5) than (3.2 x 10^2​
Verizon [17]

Answer:

647680

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
this is the question your grandma is in the hospital and is put on a liquid diet after examining her chart a mistake is found st
d1i1m1o1n [39]
Well the math comes out to 1102.31 pounds thats a bit unrealistic but i'm fairly sure i converted correctly.
4 0
3 years ago
Read 2 more answers
This was a accident lol
Phantasy [73]

Answer:

ok but thanks for the points really helped me out

4 0
2 years ago
What is the slope and y-intercept of the linear equation y = 5x − 4? <br> M= ? <br> B= ?
Feliz [49]

Answer:

M=5

B= -4

Step-by-step explanation:

y = mx + b

7 0
3 years ago
Read 2 more answers
2) Suppose 3x + 4y = 52 and 5x + y = 30. What is the value of 8x − 2y?
Lemur [1.5K]
Try this solution, note, the suggested option is not the shortest way.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Standard form of 6,32,94,000
    13·1 answer
  • How to find the volume of a prism
    5·2 answers
  • Find each measure m&lt;1, m&lt;2, m&lt;3
    15·1 answer
  • If RS=ST then point S is called the midpoint of RT.<br><br> Always.<br> Sometimes.<br> Never.
    8·2 answers
  • Can someone help???
    5·1 answer
  • A student government organization is selling Christmas trees as a fundraiser. On Friday, they sold 5 noble fir trees and 3 dougl
    11·1 answer
  • A computer store bought a program at a cost of $10 and sold it for $13 find the percent mark up
    11·1 answer
  • Is y=-2x proportional
    5·2 answers
  • My teacher makes us read the book to learn and the book doesnt show how to solve something like this
    12·1 answer
  • Given that g(x)=3x - 12, what is the value of x when g(x)=-27?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!