BrynjaN359722 BrynjaN359722
  • 03-11-2022
  • Mathematics
contestada

What is an equation of the line that passes through the point (6,-2) and is parallel to the line y=2/3x+4?

Respuesta :

AzureE4642 AzureE4642
  • 03-11-2022

point = (6,-2)

Parallel to y= 2/3x+4

If 2 lines are parallel, both have the same slope

Slope intercept form:

y= mx +b

where:

m= slope

b= y intercept

so, for y= 2/3x+4

slope = 2/3

So far we have

y= 2/3x +b

Replace x,y by the coordinate point given (6,-2) and solve for b:

-2 = 2/3 (6) + b

-2 = 4 + b

-2-4 = b

-6 = b

Final equation:

y= 2/3x - 6

Answer Link

Otras preguntas

Square of the complex number (i - 2)?
Hello, I need help please for mission 3 thank you very much.
A movie starts at 7:00 pm and lasts 108 minutes. What time does the movie end?
A particle travels in a circle of radius 82 cm and with a centripetal acceleration of 4.7 m/s2. How long does the particle take to complete one revolution?
Earth is a close approximation of a natural closed system.  What are some ways that living in a closed system affects each of us.
List all the commonwealth games mascots from 1982-2014
select the product of (3x-4)(3x4)
What is the solution: (9x+2)(4x^2+35x-9)=0
List all the commonwealth games mascots from 1982-2014
A curved section of roadway is in the shape of a circular arc of 410-m radius. The curved section is horizontal, not banked. The coefficient of friction for tir