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To find each intercept, you must let the other variable be equal to zero to find the point of the other axis.
For example, if you were to find the x intercept on this function you allow:
y = 0
3x + 4(0) = -12
3x + 0= -12
x = -4
and to find the y intercept you let x =0
3(0) + 4y = -12
0 + 4y =-12
y = -3
so you’re points of intercept are (-4,0) for the x intercept. and (0,-3) for the y intercept