RosannyT643909 RosannyT643909
  • 26-10-2022
  • Mathematics
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What is the equation of the following line? Be sure to scroll down first to see app options.

What is the equation of the following line Be sure to scroll down first to see app options class=

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DeyviJ212897 DeyviJ212897
  • 26-10-2022

The equation of a line given two points can be calculated by the formula:

[tex]\begin{gathered} \frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1} \\ \text{Given the two points on the graph to be} \\ (x_1,y_1)=(0,0) \\ (x_2,y_2)=(1,9) \end{gathered}[/tex]

Plugging in the coordinate values into the formula, we have

[tex]\begin{gathered} \frac{9-0}{1-0}=\frac{y-0}{x-0} \\ \frac{9}{1}=\frac{y}{x} \\ y=9x \end{gathered}[/tex]

Therefore, the equation of the line given is

[tex]y=9x[/tex]

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