sonibell08 sonibell08
  • 24-03-2022
  • Mathematics
contestada

Write the equation of the line that goes through the points (7,3) and (-14,9).
PLEASE HELP

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fieryanswererft
fieryanswererft fieryanswererft
  • 24-03-2022

First find slope (m):

[tex]\sf \bold{slope-formula: {\frac{y2-y1}{x2-x1} }}[/tex]

[tex]\rightarrow \sf \dfrac{9-3}{-14-7}[/tex]

[tex]\rightarrow \sf \dfrac{6}{-21}[/tex]

[tex]\rightarrow \sf -\dfrac{2}{7}[/tex]

equation:

y - y₁ = m ( x - x₁ )

[tex]\rightarrow \sf y - 3 = -\dfrac{2}{7} ( x - 7)[/tex]

[tex]\rightarrow \sf y = -\dfrac{2}{7} x +2 +3[/tex]

[tex]\rightarrow \sf y = -\dfrac{2}{7} x +5[/tex]

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