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gregori [183]
3 years ago
9

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

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>Use the slope-intercept form, which will be in this case:</u>

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

<u>Find the slope:</u>

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

<u>Find the value of the y-intercept:</u>

  • 5=1/25*20+b
  • b=5-4/5=21/5

<u>The equation is:</u>

  • g(u)=\frac{13}{25} u+\frac{21}{5}
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The magnitude is given by:
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The magnitude and direction (in degrees) of the vector are:
 
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theta = 121.95 degrees
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