How do you find 2 points that lie on the graph of this equation other than the x and y intercepts #3y + 2x = 6#?

1 Answer
Aug 29, 2016

Answer:

#(9,-4) and (-9,8)#

Explanation:

Choose any x-value, substitute and work out the y-value,
Or, choose a y-value, substitute and work out the x-value.

Re-arrange the equation to make this easier.

#y = -2/3x +2 # ( choose x as a multiple of 3)

Or

#x =-3/y2 +3# (choose even values of y)

For example:
#x = 9, " "y = -2/3xx (9) +2 = -4 rarr (9,-4)#

#y = 8, " " x = -3/2 xx(8) +3 = -9 rarr (-9,8)#

You can choose any number of values for x and/or y to find as many points as you need.