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write the equation described in slope-intercept form: (ab, 3b + 1)

please show the work

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Sung taee L. | Teach Concepts, Thinking methods, Step by Step (Physics & Math)Teach Concepts, Thinking methods, Step b...
5.0 5.0 (20 lesson ratings) (20)
1

Let's go little bit further.

x = ab   therefore b = x/a ------------------(1)

y = 3b + a  therefore b = (1/3)(y-1) ------(2)

From equation (1) and (2),

(1/3)(y-1) = x/a  rearrange this equation gives

y = (3/a)x + 1

Therefore when x=0, y = 1 (Y intercept) and when y=0, x = -a/3 (X intercept)

 

 

Pritesh S. | Youth & Adult Math-Science-ComputerYouth & Adult Math-Science-Computer
5.0 5.0 (7 lesson ratings) (7)
1

Basic slope-intercept form is y=mx+b.  It looks like you are given coordinates (ab, 3b+1).

x = ab, y=3b+1, m=slope, and b=y-intercept.  With substitution slope-intercept form is...

3b+1 = m(ab) + b

You can then continue to simplify the equation as needed.

Have fun!