How do you graph #3x - 2y = 6# by plotting intercepts?

1 Answer

Answer:

Solve for the intercepts and find your two intercept points of y-intercept = #(0,-3)# and x-intercept = #(2,0)#

Explanation:

When we plot a graph using intercepts, we are being given 2 points: (0,?) and (?,0) - I'm using the very un-math-like ? to take away a little formality here! We substitute in the two points (or as much as we know about each point), then solve for the other part.

Let's do the y-intercept first. We know that where the graph passes through the y axis, #x=0# (we don't move right or left from the origin to find the y axis, so #x=0#). So with #x=0#, let's solve for y and find our first point:

#3x-2y=6#
#3(0)-2y=6#
#-2y=6#
#y=-3#

So that's one point #(0,-3)#

Let's do the x intercept. Following the same reasoning as before, we know that #y=0# so let's solve for x:

#3x-2y=6#
#3x-2(0)=6#
#3x=6#
#x=2#

And that's our other point #(2,0)#

Plot those 2 points, connect them with a straight edge, and you'll get your graph.