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HELP NOW PLS !!! 100 POINTS
The points (5,8) and (10,2) fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Respuesta :

semsee45

Answer:

[tex]y-8=-\dfrac{6}{5}(x-5)[/tex]

Step-by-step explanation:

Define the given points:

  • (x₁, y₁) = (5, 8)
  • (x₂, y₂) = (10, 2)

First find the slope of the line by substituting the given points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-8}{10-5}=-\dfrac{6}{5}[/tex]

To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-8=-\dfrac{6}{5}(x-5)[/tex]

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