28eatoni 28eatoni
  • 11-01-2024
  • Mathematics
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The points ( – 1,f) and (2,10) fall on a line with a slope of 6. What is the value of f?

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Mickeym175
Mickeym175 Mickeym175
  • 11-01-2024

Answer:

[tex]f=-8[/tex]

Step-by-step explanation:

Slope forma is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

So we fill in what we know

[tex]\frac{10-f}{2-(-1)} =6[/tex]

[tex]\frac{10-f}{3} =6[/tex]

Multiply 3 on both sides

[tex]10-f=18[/tex]

Subtract 10 on both sides

[tex]-f=8[/tex]

Divide both sides by -1

[tex]f=-8[/tex]

I hope this helps

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