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Tanzania [10]
3 years ago
12

If the equation of a line is 4x - 7y = 14, what is the slope of the line?

Mathematics
2 answers:
Novay_Z [31]3 years ago
4 0

Answer: 4/7

Step-by-step explanation: If you graph out the equation sand do rise/run to get your slope, the rise will be 4 and the run will be 7.

Hope this helps! Please mark me brainliest!

xz_007 [3.2K]3 years ago
4 0

Answer:

  • The slope is 4/7.

Step-by-step explanation:

<u>We know that:</u>

  • Formula = y = mx + b
  • Equation given = 4x - 7y = 14

<u>Step-1: Change the equation into its original form.</u>

  • 4x - 7y = 14
  • => -14 + 7y + 4x - 7y = 14 + 7y - 14
  • => -14 + 4x = 7y
  • => 7y = 4x - 14
  • => y = 4x/7 - 14/7
  • => y = 4x/7 - 2

<u>Now, let's compare the equation with its formula.</u>

  • => (y = mx + b) = (y = 4x/7 - 2)

We can clearly see that the slope is 4/7.

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AB¯¯¯¯¯¯¯¯ is the diameter of circle T. Point A is located at (-9,-1) and point B is located at (-1,-5). What are the coordinate
Makovka662 [10]

Answer:

The coordinates of the center of this circle are (-5 , -3)

Step-by-step explanation:

* Lets explain how to solve the problem

- The mid-point of the segment whose endpoints are (x1 , y1) , (x2 , y2)

  is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

- AB is the diameter of circle T

∵ The diameter must passing through the center of the circle

∵ The center of the circle is the mid-point of all diameters of the circle

∵ The center of the circle is point T

∴ T is the mid point of the diameter AB

- Lets calculate the coordinates of point T by using the rule above

∵ A = (-9 , -1) and B = (-1 , -5)

∵ T is the mid-point of AB

- Let A = (x1 , y1) , B = (x2 , y2) and T = (x , y)

∴ x1 = -9 , x2 = -1 and y1 = -1 , y2 = -5

∴ x=\frac{-9+-1}{2}=\frac{-10}{2}=-5

∴ y=\frac{-1+-5}{2}=\frac{-6}{2}=-3

∴ The coordinates of point T are (-5 , -3)

* The coordinates of the center of this circle are (-5 , -3)

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3 years ago
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