TirenioluwaE723636 TirenioluwaE723636
  • 25-10-2022
  • Mathematics
contestada

write the equation of (3, -4) and (0, -6)

Respuesta :

StefaniU695104 StefaniU695104
  • 25-10-2022
Answer:

The equation of the line is:

[tex]y=\frac{2}{3}x-5[/tex]

Explanation:

The equation is in the form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope.

[tex]\begin{gathered} m=\frac{-6-(-4)}{0-3} \\ \\ =\frac{-6+4}{-3}=\frac{2}{3} \end{gathered}[/tex]

So, the equation is:

[tex]\begin{gathered} y-(-4)=\frac{2}{3}(x-3) \\ \\ y+3=\frac{2}{3}x-2 \\ \\ y=\frac{2}{3}x-2-3 \\ \\ y=\frac{2}{3}x-5 \end{gathered}[/tex]

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