How do you find the x and y intercepts for 2x+y=5?

May 10, 2018

${y}_{\text{intercept}} = + 5 \textcolor{w h i t e}{.} \to \left(x , y\right) = \left(0 , 5\right)$

${x}_{\text{intercept}} = + \frac{5}{2} \to \left(x , y\right) = \left(\frac{5}{2} , 0\right)$

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Explanation:

Write as: $\textcolor{g r e e n}{y = - 2 x \textcolor{red}{+ 5}}$

$\textcolor{red}{{y}_{\text{intercept}} = 5}$
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The plotted line crosses the x-axis at $y = 0$

Set $y = 0 = - 2 x + 5$

Subtract 5 from both sides

$0 - 5 = - 2 x + 5 - 5$

$- 5 = - 2 x$

Divide both sides by -2

$\frac{- 5}{- 2} = \frac{- 2}{- 2} x$

$+ \frac{5}{2} = {x}_{\text{intercept}}$