# How do you find the x and y intercept of 4x + y = 5 ?

Jun 29, 2016

$x$-intercept is $\frac{5}{4}$ and $y$-intercept is $5$.

#### Explanation:

For finding $y$-intercept put $x = 0$, which gives $y = 5$

and for finding $x$-intercept put $y = 0$, which gives $x = \frac{5}{4}$

Hence $y$-intercept is $5$ and $x$-intercept is $\frac{5}{4}$.

Alternatively if $y$-intercept is $a$ and $x$-intercept is $b$, the equation of line is given by $\frac{x}{a} + \frac{y}{b} = 1$.

For converting $4 x + y = 5$ into this form let us divide each side by $5$, which gives

$\frac{4 x}{5} + \frac{y}{5} = 1$ or

$\frac{x}{\frac{5}{4}} + \frac{y}{5} = 1$ and hence

$x$-intercept is $\frac{5}{4}$ and $y$-intercept is $5$.