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

Mar 29, 2016

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

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

#### Explanation:

$y$ intercept is when $x = 0$

$x$ intercept is when $y = 0$
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color(blue)("To find "x_("Intercept"))

Set $y = 0$ giving

$\text{ } 0 = - 2 x + 5$

Add $2 x$ to both sides

$\text{ } 2 x = - 2 x + 2 x + 5$

$\text{ } 2 x = 0 + 5$

Divide both sides by 2

$\text{ } \frac{2}{2} \times x = \frac{5}{2}$

But $\frac{2}{2} = 1$

$\text{ } \textcolor{b l u e}{x = \frac{5}{2}}$
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color(blue)("To find "y_("Intercept"))

Set $x = 0$

$\text{ } y = - 2 \left(0\right) + 5$

$\text{ } \textcolor{b l u e}{y = 5}$