JeancarlosV323415 JeancarlosV323415
  • 03-11-2022
  • Mathematics
contestada

Graph the line with slope 2/3 passing through the point (2, -5).

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TazY174346 TazY174346
  • 03-11-2022

The slope of the line is m=2/3.

The line passes through the point (x1, y1)=(2, -5).

The point slope form of the equation of line is,

[tex]\begin{gathered} \frac{2}{3}=\frac{y1-y}{x1-x} \\ \frac{2}{3}=\frac{-5-y}{2-x} \\ 2(2-x)=3(-5-y) \\ 4-2x=-15-3y \\ 3y=2x-15-4 \\ 3y=2x-19 \\ y=\frac{2}{3}x-\frac{19}{3} \end{gathered}[/tex]

The graph of the line can be plotted as,

Ver imagen TazY174346
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