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Anika [276]
3 years ago
13

Please write the rational expression in lowest terms

Mathematics
1 answer:
Inessa [10]3 years ago
7 0
   y + 4
  ---------
   y + 6
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Answer:

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Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

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m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2

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<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into y=-2x+b:

y=-2x+2

I hope this helps!

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