Yazmariie45881 Yazmariie45881
  • 10-01-2020
  • Mathematics
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Suppose a, b are two positive numbers. Find an equation for the line in space passing through a on the x-axis and b on the y-axis.

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profantoniofonte
profantoniofonte profantoniofonte
  • 10-01-2020

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

1) Let a=1, b=2. Therefore we have two pair of points (1,0) and (0,2) since a must be on x-axis and b on y axis.

Equation of the line: [tex]y=mx+b[/tex]

[tex]m=\frac{0-2}{1-0}\Rightarrow m=-2[/tex]

2) Since 2 is the point on the y-axis, then b=2 we can say that

[tex]y=-2x+2[/tex]

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