How do you find the x and y intercepts of y+7=-2x?

Apr 25, 2017

See the entire solution process below:

Explanation:

x-intercept:

Substitute $\textcolor{red}{0}$ for $\textcolor{red}{y}$ in the equation and solve for $x$:

$\textcolor{red}{y} + 7 = - 2 x$ becomes:

$\textcolor{red}{0} + 7 = - 2 x$

$7 = - 2 x$

$\frac{7}{\textcolor{red}{- 2}} = \frac{- 2 x}{\textcolor{red}{- 2}}$

$- \frac{7}{2} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2}}} x}{\cancel{\textcolor{red}{- 2}}}$

$- \frac{7}{2} = x$

$x = - \frac{7}{2}$

The x-intercept is $- \frac{7}{2}$ or $\left(- \frac{7}{2} , 0\right)$

y-intercept:

Substitute $\textcolor{red}{0}$ for $\textcolor{red}{x}$ in the equation and solve for $y$:

$y + 7 = - 2 \textcolor{red}{x}$ becomes:

$y + 7 = \left(- 2 \cdot \textcolor{red}{0}\right)$

$y + 7 = 0$

$y + 7 - \textcolor{red}{7} = 0 - \textcolor{red}{7}$

$y + 0 = - 7$

$y = - 7$

The y-intercept is $- 7$ or $\left(0 , - 7\right)$