trista2kk4 trista2kk4
  • 19-08-2022
  • Mathematics
contestada

What is an equation of the line that passes through the points (-4, -6) and
(8, 3)?

Respuesta :

aaronragu aaronragu
  • 19-08-2022

Answer:

[tex]y = \frac{ 3}{4} x - 3 \\ [/tex]

Step-by-step explanation:

to find the equation for given 2 point, we need to first find the gradient of these 2 point, then use the gradient and one of the given point to find the equation

[tex]m = \frac{3 - ( - 6)}{8 - ( - 4)} = \frac{9}{12} = \frac{3}{4} \\ y - 3 = \frac{3}{4} (x - 8) \\ y = \frac{3}{4} x - 6 + 3 \\ y = \frac{3}{4} x - 3[/tex]

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