Download find the points where the plane z=5x-4y+3 intersects

Find the points where the plane z = 5x - 4y + 3 intersects each of the coordinate axes.
Find the lengths of the sides and the angles of the triangle formed by these points.
The plane cuts the x-axis where y = 0, z = 0.
Therefore, 5x + 3 = 0, or x = -3/5
The plane cuts the y-axis where x
y
= 0, z = 0.
Therefore, -4y + 3 = 0, or y = ¾
(0, ¾, 0)
(-3/5, 0, 0)
O
2
The lengths of the sides of the triangle are: 3/5, 3/4, and
Angle adjacent to the side of length 3/5 = tan 1
x
2
3  3
      0.9605
5  4
3/ 4
5
 tan 1  51.34 0
3/ 5
4
Angle adjacent to the side of length 3/4 = 900- 51.340= 38.660