# What are the x and y intercepts of the line described by this equation 2x+4y=12.4?

Oct 30, 2016

Y - intercept is $3.1$
X - intercept $6.2$

#### Explanation:

Given -

$2 x + 4 y = 12.4$

Y- Intercept

At $x = 0$

$\left(0 \cdot 2\right) + 4 y = 12.4$
$4 y = 12.4$
$y = \frac{12.4}{4} = 3.1$

Y - intercept is $3.1$

It means at $\left(0 , 3.1\right)$ the linear curve cuts the Y axis.

X-Intercept

At $y = 0$

$2 x + \left(0 \cdot 4\right) = 12.4$
$2 x = 12.4$
$x = 12.4 = 6.2$

X - intercept $6.2$
It means at $\left(6.2 , 0\right)$ the linear curve cuts the X axis.