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How do u find the y=my+b if you only know that the slope is o.5 and the xintercept is 28,0

 Sep 18, 2016
 #1
avatar+118654 
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How do u find the y=mx+b if you only know that the slope is o.5 and the xintercept is (28,0)

 

\(b=0.5\\ y=mx+0.5\\ sub \;\;in\;\; x=28\;\;and\;\; y=0\\ 0=m*28+0.5\\ m*28=-0.5\\ m=\frac{-0.5}{28}\\ m=\frac{-1}{56}\\~\\ y=\frac{-x}{56}+0.5 \)

 Sep 18, 2016
 #2
avatar+37084 
+5

I agree with Melody ....Mostly....

y = mx + b   is the equation of a line with slope  m   and  y-axis intercept   b

 

you are given 'm' = 0.5     so your line equation becomes   y = .5 x + b

you are given the 'x' axis intercept....(this is where y = 0) as  28, 0   so substitute this value into your equation to find 'b'

 

y = .5x + b

0 = .5 (28 ) + b

-14 = b    

so your line equation becomes:

y = 0.5 x - 14   

 Sep 18, 2016

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