billybobjoe9490 billybobjoe9490
  • 11-02-2021
  • Mathematics
contestada

A line that has a slope of 1/3 and passes through the point (-9,5)

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octopods
octopods octopods
  • 11-02-2021

Answer:

[tex]y = \frac{1}{3}x + 8[/tex]

Step-by-step explanation:

using the slope-intercept formula, u have this so far as an equation (just knowing the slope): [tex]y = \frac{1}{3}x + b[/tex]

To find the y-intercept, substitute in the values of the coordinates given to solve for b:

[tex]y = \frac{1}{3}x + b\\5 = \frac{1}{3}(-9) + b\\5 = -3 + b\\8 = b[/tex]

so u can just put 8 into your slope-intercept formula ([tex]y = \frac{1}{3}x + 8[/tex]) and that's it! hope this helps!

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