Question

Graph using a table of values. You must find five values in the table. 1. 4x-3y=6I'll upload a picture, Can you please show me how to answer this and graph. I have 7 problems to do but hopefully if I Have one example I can do the rest on my own.

Answer 1

First, let's express the equation in the slope-intercept form. In order to do it, we need to solve the equation for y:

`\begin{gathered} 4x-3y=6 \\ 3y=4x-6 \\ y=(4)/(3)x-2 \end{gathered}`

Let's evaluate the equation for:

x = -6, -3 , 0, 3, 6

so:

`\begin{gathered} y(-6)=(4)/(3)(-6)-2=-8-2=-10 \\ y(-3)=(4)/(3)(-3)-2=-4-2=-6 \\ y(0)=(4)/(3)(0)-2=0-2=-2 \\ y(3)=(4)/(3)(3)-2=4-2=2 \\ y(6)=(4)/(3)(6)-2=8-2=6 \end{gathered}`

Now, we can create the table:

The graph is the following: