# How do you graph the equation by plotting points 4x - 3y = 6?

Jan 27, 2016

Look below.

#### Explanation:

We can easily do that by following the given steps below

1. Step 1. Take $x = 0$ and calculate the subsequent value of ${y}_{1}$ and take procured value as a point $\left(0 , {y}_{1}\right)$.
2. Step 2. Take $y = 0$ and calculate the subsequent value of ${x}_{2}$ and take procured value as a point $\left({x}_{2} , 0\right)$

For this given problem, we have the equation $4 x - 3 y = 6$

So, first let's take $x = 0$, which means $- 3 y = 6 \setminus \implies - {\cancel{3}}^{1} y = {\cancel{6}}^{2} \setminus \implies {y}_{1} = - 2$.
So, the point is $\left(0 , - 2\right)$

Now, let's take $y = 0$ which means $4 x = 6 \setminus \implies {\cancel{4}}^{2} x = {\cancel{6}}^{3} \setminus \implies {x}_{2} = \frac{3}{2}$
so the point here is $\left(\frac{3}{2} , 0\right)$.

The is going to look like this. graph{4x-3y=6 [-5, 5, -2.604, 2.606]}