Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find the slope and y-intercept for the graph of the equation
6x - 4y = -36

Sagot :

VirαtKσhli

Answer:

[tex]y = \dfrac{3}{2} x + 9[/tex]

Step-by-step explanation:

We would like to write the given equation in slope intercept form of the line .

[tex]\longrightarrow 6x - 4y = -36 [/tex]

The slope intercept form of the line is [tex] y = mx + c [/tex] , where

  • [tex] m[/tex] is the slope
  • [tex] (x,y)[/tex] is a point on the line .
  • [tex] c [/tex] is the y intercept .

we can rewrite the given equation as ,

[tex]\longrightarrow 6x - 4y = -36 \\ [/tex]

[tex]\longrightarrow -4y = -36 -6x \\ [/tex]

[tex]\longrightarrow -4y = -6( x + 6)\\[/tex]

[tex]\longrightarrow y =\dfrac{-6}{-4}(x + 6)\\[/tex]

[tex]\longrightarrow y = \dfrac{3}{2}(x+6)\\ [/tex]

[tex]\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6\\[/tex]

[tex]\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}[/tex]

This is the required equation of line in slope intercept form , with ;

  • [tex]m = \dfrac{ 3}{2} [/tex]
  • [tex]c = 9[/tex]

PurpleSoul

Answer:

Refer to the attachment

View image PurpleSoul
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.