yomisss
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Write an equation in slope-intercept form for each table below. Show how you found the slope and y-intercept.

-----------------------------------------
(1):
|x: 0 | 1 | 2 | 3 | 4
|
|y: 0 | 2.5 | 5 | 7.5 | 10
|
-----------------------------------------

Sagot :

[tex]x=1;\ y=2.5\\x=2;\ y= 5\\\\The\ slope-intercept\ form:y=mx+b\\\\subtitute:\\\\ - \left\{\begin{array}{ccc}2.5=1m+b\\5=2m+b\end{array}\right\ \ \ |subtract\ both\ sides\ of\ equations\\--------\\.\ \ \ \ -2.5=-m\\.\ \ \ \ \ m=2.5\\\\subtitute\ value\ of\ m\ to\ the\ equation\ 2.5=1m+b\\\\2.5=2.5+b\\2.5+b=2.5\ \ \ \ |subtract\ 2.5\ from\ both\ sides\\b=0\\\\Therefore,\ answer\ is:\boxed{y=2.5x+0=2.5x}[/tex]

[tex]Check:\\x=0;\ y=0\\0=2.5\cdot0\\0=0-correct\\\\x=3;\ y=7.5\\7.5=2.5\cdot3\\7.5=7.5-correct\\\\x=4;\ y=10\\10=2.5\cdot4\\10=10-correct[/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.