Yomisssidn
Answered

IDNLearn.com: Your trusted platform for finding precise and reliable answers. Discover reliable and timely information on any topic from our network of experienced professionals.

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]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.