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Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.

g(u)=

Sagot :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Use the slope-intercept form, which will be in this case:

  • g(u) = mu + b, where m is the slope, b is the y- intercept

Find the slope:

  • [tex]m=(y_2-y_1)/(x_2-x_1)[/tex]
  • [tex]m=(-8-5)/(-5-20)=(-13)/(-25)=13/25[/tex]

Find the value of the y-intercept:

  • [tex]5=1/25*20+b[/tex]
  • [tex]b=5-4/5=21/5[/tex]

The equation is:

  • [tex]g(u)=\frac{13}{25} u+\frac{21}{5}[/tex]

Slope

  • m=(-8-5)/-5-20
  • m=-13/-25
  • m=13/25

Equation in point slope form

  • y-5=13/25(x-20)
  • y=13/25x-13/25(20)+5
  • y=13/25x+21/5

g(u)=13/25u+21/5

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