What are the intercepts of -3x-7y=5?

Dec 19, 2015

x-intercept: $\left(- \frac{5}{3}\right) \textcolor{w h i t e}{\text{XXXXXX}}$y-intercept: $\left(- \frac{5}{7}\right)$

Explanation:

The x-intercept is the value of $x$ when $y = \textcolor{red}{0}$
$\textcolor{w h i t e}{\text{XXX}} - 3 x - 7 \left(\textcolor{red}{0}\right) = 5$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = \frac{5}{- 3}$

The y-intercept is the value of $y$ when $x = \textcolor{b l u e}{0}$
$\textcolor{w h i t e}{\text{XXX}} - 3 \left(\textcolor{b l u e}{0}\right) - 7 y = 5$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = \frac{5}{- 7}$