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

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

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Answer 1 · 2016-06-29T07:10:04

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

Explanation:

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

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

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

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

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

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

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

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

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

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