What are the intercepts of : 4y= - 5x + 2?

Feb 4, 2016

y-intercept: $\frac{1}{2} \textcolor{w h i t e}{\text{XXXXXX}}$x-intercept: $\frac{2}{5}$

Explanation:

The y-intercept is the value of $y$ where the equation crosses the Y-axis; that is it is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} 4 y = - 5 x + 2$ with $x = 0$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow 4 y = + 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = \frac{1}{2}$

Similarly the x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 4 y = - 5 x + 2$ with $y = 0$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow 0 = - 5 x + 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow 5 x = 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = \frac{2}{5}$