to draw a line, all you need are two points. the x- and y-intercepts are usually good points, especially since you only have to find one of them (the y-intercept is given by the lone constant, so we don't have to calculate it).

for the x-intercept, set y = 0

=> 0 = 3x - 6

=> x = 2

thus, our y-intercept is (0,-6) and our x-intercept is (2,0)

so plot those points on a pair of axis and draw a straight line through them and you're done. see below

to find the inverse function of y = f(x), we switch x and y and solve for y.b. draw the inverse aswell

thus for the inverse of y = 3x - 6, we solve: x = 3y - 6 for y.

=> y = (1/3)x + 2 is the inverse function.

graph this the same way i did the other.

for any graph that has an inverse, the graph and it's inverse is symmetrical about the line y = x.c. what is y=3x and its inverse symmetrical about?

i leave this question to you. after drawing the graphs, you tell med. what do you notice about the line of symmetry?