Answer :
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)