Question

How do you find the x intercept of $4x-12=0$ ?

Answer 1

To find the x intercept of $4x-12=0$, we should first know what x intercept is. The x intercept is the point on the x axis where the straight line has cut the x axis. And the point where the straight line cuts the x axis is the point of which y coordinate is 0. After that, we just have to solve the equation in x and get the value of x from it.

Complete step by step answer:
The equation of straight line given in the above problem of which we have to find the x intercept is:
$4x-12=0$………. Eq. (1)
Now, we are going to calculate the x intercept of the above line. The x intercept calculation is done by putting y as 0 in the given straight line equation and as there is no y coordinate given in the above equation of line so we are just solving the above equation by finding the value of x.
Adding 12 on both the sides of eq. (1) we get,
$\begin{aligned} & 4x-12+12=0+12 \\\ & \Rightarrow 4x+0=12 \\\ \end{aligned}$
Now, dividing 4 on both the sides we get,
$\begin{aligned} & \dfrac{4x}{4}=\dfrac{12}{4} \\\ & \Rightarrow x=3 \\\ \end{aligned}$

From the above calculations, we have solved the x intercept as $x=3$.

Note: If in the above problem, we might have asked to find the y intercept of the given equation of line. When you draw this equation of straight line you will find that:

As you can see that the given equation of the straight line is parallel to the x axis so the y intercept is not defined because this equation of the straight line will cut the y axis at infinity.