Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Complete the equation of the line through (−10,3) and (-8,-8)

Sagot :

Mathkot

Answer:

[tex]\boxed{y = -5,5x - 52}[/tex]

Step-by-step explanation:

Equation of a straight line: y = kx + b

Points: (-10,3) and (-8,-8)

Сompose the system of equations:

[tex]\displaystyle \left \{ {{3=-10k + b} \atop {-8=-8k + b}} \right[/tex] [tex]\displaystyle \left \{ {{b= 3 + 10k} \atop {b=8k - 8}} \right \Longrightarrow 3 + 10k = 8k - 8[/tex]

[tex]3 + 10k = 8k - 8[/tex]

[tex]2k = -11|:2[/tex]

[tex]k = -5,5[/tex]

[tex]b = 3 + 10k = 3 + 10 \cdot ( -5,5) = 3 - 55 = -52[/tex]

[tex]y = -5,5x - 52[/tex]

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.