With this question? i got half of it, but can't seem to get the other half. explain how you got your answer.

1. the equation of a plane in space is x + 3y + 2z = 6.
a.) accurately sketch the plane on the set of axes, showing all your calculations below.
b.) the three planes of the axes and the plane you have sketched create a triangular pyramid. find the volume of this pyramid, showing the formula you are using and all
calculations below.

my
a. i started off by finding my x-intercept. to find my x-intercept i substituted y and z with 0. so: x + 3(0) + 2(0) = 6. after multiplying and adding, i end up with x = 6. so my x-intercept is (6, 0, t find my y-intercept i substituted x and z with 0. so: 0 + 3y + 2(0) = 6. after multiplying and adding, we come up with 3y = 6. now we divide each side by 3 to get y = 2. so my y-intercept is (0, 2, 0). to find my z-intercept, i substituted x and y with 0. so, 0 + 3(0) + 2z = 6. after multiplying and adding, i get 2z = 6. now i divide each side by 2 to get z = 3. so my z-intercpet is (0, 0, 3). after i plotted the points and connected them, they formed a triangular pyramid.

so thats how much i got. i cant seem to figure out how to get the volume. .