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# PLS HELPPPP

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Find the distance between the x-intercept and the y-intercept of the graph of the equation 2x-5y=10.

Mar 16, 2020

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Find the distance between the x-intercept and the y-intercept of the graph of the equation $$2x-5y=10$$.

$$\begin{array}{|rcll|} \hline 2x-5y &=& 10 \quad & | \quad : 10 \\\\ \dfrac{2x}{10}-\dfrac{5y}{10} &=& 1 \\\\ \dfrac{ x}{5}-\dfrac{ y}{2} &=& 1 \\\\ \mathbf{\dfrac{ x}{5}+\dfrac{ y}{-2}} &=& \mathbf{1} \\ \hline \end{array}$$

x-intercept $$= 5$$

y-intercept $$= -2$$

The distance:

$$\begin{array}{|rcll|} \hline && \sqrt{5^2+(-2)^2} \\ &=& \sqrt{25+4} \\ &=& \mathbf{\sqrt{29}} \\ \hline \end{array}$$

Mar 16, 2020