Question

what is the effect on the graph of the equation 6x+3y=12 if 12 is changed to 36?

Answer 1

let's write the old and new equations:
(i) 6x+3y=12
(ii) 6x+3y=36
notice that they have the same slope, thus the new line (ii) is parallel to the original line (i).
also , transforming this into slope-intercept form, they become
(i) y = -2x + 4
(ii) y = -2x + 12
the y-intercept of (i) is at (0,4) while (ii) is at (0,12). thus the new line moved 8 units up from the original line.

hope this helps~ :)