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The points(13,-6) and (8,-11) fall on a particular line. What is its equation in slope- intercept form?

Sagot :

renknee

Answer:

y = x - 19

Step-by-step explanation:

Slope intercept form of a line is y = mx + b.

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept.

To find slope we use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

  • [tex]\frac{-11+6}{8-13}[/tex]
  • [tex]-5/-5[/tex]
  • [tex]1[/tex]

Now, to find the y-intercept we take the values of a point and plug them into our equation so far.

  • [tex]-6=13+b[/tex]
  • [tex]-6-13=13+b-13[/tex]
  • [tex]b = -19[/tex]  

Therefore, the answer is y = x - 19.

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