Respuesta :

x intercept is (-3, 0) and y intercept is (0, 2)

Solution:

Given equation is:

4x - 6y = -12

Find the x intercept:

Substitute y = 0 in given equation

[tex]4x - 6(0) = -12\\\\4x = -12\\\\Divide\ both\ sides\ by\ 4\\\\x = -3[/tex]

Thus the x intercept is (-3, 0)

Find the y intercept:

Substitute x = 0 in given equation

[tex]4(0) - 6y = -12\\\\-6y = -12\\\\6y = 12\\\\Divide\ both\ sides\ by\ 6\\\\y = 2[/tex]

Thus the y intercept is (0, 2)