# What are the intercepts of 3x+2y=14?

##### 1 Answer
Jan 11, 2016

The intercepts are at
$\textcolor{w h i t e}{\text{XXX}} \left(0 , 7\right)$ (the y-intercept)
and
$\textcolor{w h i t e}{\text{XXX}} \left(\frac{14}{3} , 0\right)$ (the x-intercept)

#### Explanation:

For all values on the Y-axis: $x = 0$
Replacing $x$ with $0$ in the given equation:
$\textcolor{w h i t e}{\text{XXX}} 3 \left(0\right) + 2 y = 14$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = 7$
So the y-intercept is $7$ (i.e. it is at $\left(0 , 7\right)$)

For all values on the X-axis: $y = 0$
Replacing $y$ with $0$ in the given equation:
$\textcolor{w h i t e}{\text{XXX}} 3 x + 2 \left(0\right) = 14$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = \frac{14}{3}$
So the x-intercept is $\frac{14}{3}$ (i.e. it is at $\left(\frac{14}{3} , 0\right)$)