JohnBeere JohnBeere
  • 09-05-2022
  • Mathematics
contestada

A line that includes the points (n, – 7) and ( – 3,3) has a slope of – 10. What is the value of n?

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syahbanazacki
syahbanazacki syahbanazacki
  • 15-05-2022

Step-by-step explanation:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] - 10 = \frac{3 - ( - 7)}{ - 3 - n} [/tex]

[tex] - 10( - 3 - n) = 10[/tex]

[tex]30 + 10n = 10[/tex]

[tex]10n = 10 - 30[/tex]

[tex]10n = - 20[/tex]

[tex]n = \frac{ - 20}{10} [/tex]

[tex]n = - 2[/tex]

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