Question

Find the intercepts of the equation$3x+y=6$.

Short answer

The intercepts of the given equation are (2,0) and (0,6).

Step-by-step solution

Given information

The equation to find the intercepts is given as$3x+y=6$.

Find the intercept on abscissa

The intercepts are the points where the corresponding variables obtain the value zero.

• Hence make the corresponding variables zero to find the required.
• Substitute each $y$by 0 into the given equation to find the intercept on the abscissa.

$\begin{array}{rcl}3x+y& =& 6\\ 3x+0& =& 6\\ 3x& =& 6\\ x& =& \frac{6}{3}\\ x& =& 2\end{array}$

Find the intercept on ordinate

Now substitute each $x$by 0 into the given equation and solve to find the required answer.

$\begin{array}{rcl}3x+y& =& 6\\ 3\left(0\right)+y& =& 6\\ 0+y& =& 6\\ y& =& 6\end{array}$