Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is an equation of the line that passes through the points (-6,-5) and
(-2, 3)

Sagot :

Nonportrit

Answer:

[tex]y=-0.500x+2[/tex]

Step-by-step explanation:

Given the following question:

point A = (-6, 5)
point B = (-2, 3)

To find the equation of the line we have to find the slope intercept, where m is the slope of the given line.

Formula for slope intercept:

[tex]y=mx+b[/tex]

First, we need to fine the slope of the given points because m is the slope.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{3-5}{2--6} =\frac{-2}{4} =-0.500[/tex]
[tex]m=-0.500[/tex]

[tex]y=mx+b[/tex]
[tex]y=5[/tex]
[tex]m=-0.500[/tex]
[tex]x=-6[/tex]
[tex]5=-0.500(-6)+b[/tex]
[tex]-0.500\times-6=3[/tex]
[tex]5=3+b[/tex]
[tex]5-3=2[/tex]
[tex]2+b[/tex]
[tex]b=2[/tex]

[tex]y=-0.500x+2[/tex]

Hope this helps.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.