Question

Reduce the equation 2x – 3y + 5z + 4 = 0 to intercept form and find the intercepts made by it on the coordinate axes.

Answer 1

Given : 

Equation of plane : 2x – 3y + 5z + 4 = 0 

To Find : 

1) Equation of plane in intercept form 

2) Intercepts made by the plane with the co-ordinate axes. 

Formula :

is the equation of plane in intercept form then intercept made by it with co-ordinate axes are 

X-intercept = a 

Y-intercept = b 

Z-intercept = c 

Answer : 

Given equation of plane: 

2x – 3y + 5z = -4 

Dividing above equation throughout by -4

This is the equation of plane in intercept form. 

Comparing above equation with

Therefore, intercepts made by plane with co-ordinate axes are 

X-intercept = -2

y - intercept = 4/3

z - intercept = - 4/5