callmeford
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Derive the equation of the line that goes through (−3, 1) and (0, −5).

A
y=−2x

B
y=2x−5

C
y= −2x−5

D
y=2x+5

Sagot :

semsee45

Answer:

C)  y = -2x - 5

Step-by-step explanation:

[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]

Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-1=-2(x-(-3))[/tex]

[tex]\sf \implies y=-2x-5[/tex]
  • (-3,1)
  • (0,-5)

Slope:-

  • m=-6/3=-2

Equation in point slope form

  • y-1=-2(x+3)
  • y-1=-2x-6
  • y=-2x-5
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.