# How do you find the intercepts for 4x + 3y = 12?

Jul 10, 2015

x intercept $= 3$
y intercept $= 4$

#### Explanation:

The x intercept is the value of $x$ at the point where a graph of the equation crosses the x-axis. The x axis is the line along which $y = 0$.
Therefore the x intercept is the value of $x$ when $y$ is set to $0$ in the equation.
$\textcolor{w h i t e}{\text{XXXX}}$$4 x + 3 \left(0\right) = 12$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$\Rightarrow x = 3$

Similarly, the y intercept is the value of $y$ at the point where a graph of the equation crosses the y-axis. The y axis is the line along which $x = 0$.
Therefore the y intercept is the value of $y$ when $x$ is set to $0$ in the equation.
$\textcolor{w h i t e}{\text{XXXX}}$$4 \left(0\right) + 3 y = 12$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$\Rightarrow y = 4$