Question

What is the graph of the function rule y=3x-2

Answer 1

Greetings!

This a line/equation represented in the slope y-intercept form:
$y=mx+b$

1) Coordinates of a point in the line are shown by y and x.
2) The variable m represents the slope of the line.
3) The variable b represents the y-intercept (when the line hits the y-axis) of the line. 

We only need 2 pieces of the information (listed above) in order to graph the line. 

Using the information provided by the equation...
$y=3x-2$
...we can graph the line.

We know that the slope is 3 (also shown as $\frac{3}{1}$) as m=3 We also know one of the coordinate points (0,-2) due to the y-intercept. Now, we can graph:
1) Plot your first coordinate point. 
2) $m= \frac{rise}{run}$
$m= \frac{3}{1}$
Your next point would be 3 sqaures up and 1 square to the right (or 3 sqaures down and 1 square to the left; Doesn't really matter as: $\frac{3}{1}= \frac{-3}{-1}$
This would result in a second coordiante point of (1,1) 
Now that you have two points on the plane, you can use a ruler and pencil to connect the points, forming the line which represents the equation. 

Hope this helped!
-Benjamin