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

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 :


If


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



We get,


a = -2




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


X-intercept = -2




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