Respuesta :

1) The y-intercept is the point where the line intercepts, or meets, the y-axis. This is at the point (0, 600).

2) Conversely, the x-intercept is the point where the line intercepts the x-axis. This is at the point (900, 0).

3) [tex]\frac{600-0}{0-900}=\frac{6}{-9}=-\frac{2}{3}[/tex] As you can see, the y and x coordinates are set up accordingly in this equation. The points used are (0, 600) and (900, 0).

4) Based on the above, the function here is y = -2/3x + 600

Hope this helps, let me know if I messed up!

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{600})\qquad(\stackrel{x_2}{900}~,~\stackrel{y_2}{0})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-600}{900-0}\implies \cfrac{-600}{900}\implies -\cfrac{2}{3}[/tex]

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