To graph an equation, you first need to solve it for y. This means turning the equation into this form: Y=.......
For your equation, once you solve it for Y, you get this:
![y = -7x +5](https://tex.z-dn.net/?f=y%20%3D%20-7x%20%2B5)
Now, the coefficient of X is a very crucial part of graphing an equation. Once the equation is solved for Y, the coefficient of X is going to be the slope of the line you are graphing. The slope of a line is how much Y goes up every time X is increased by 1.
To graph an equation, you need to put in a number for X and find the matching value for Y and then graph that point. To do this, you will need a coordinate plane. I can't show you what that looks like on here. But, I will do my best to explain how it is done.
Now, for your equation:
![y = -7x +5](https://tex.z-dn.net/?f=y%20%3D%20-7x%20%2B5)
Simply chose a number for X and find the matching value for Y. I'll try 0 for an example:
![y = -7(0) +5](https://tex.z-dn.net/?f=y%20%3D%20-7%280%29%20%2B5)
-7 * 0 is 0. Therefore, your new equation looks like this:
![y =+5](https://tex.z-dn.net/?f=y%20%3D%2B5)
Therefore, one "Solution pair" to this equation is (X=0,Y=5)
Simply repeat this process and plot the solution pairs on the coordinate plane and then connect the dots.