The x-intercept is what 'x' is when 'y' is equal to 0. So plug in 0 for 'y' and solve for 'x':
[tex]\sf 4x+2y=16[/tex]
[tex]\sf 4x+2(0)=16[/tex]
Simplify:
[tex]\sf 4x=16[/tex]
Divide 4 to both sides:
[tex]\sf x=4[/tex]
So the x-intercept is (4, 0).
The y-intercept is what 'y' is when 'x' is equal to 0. So plug in 0 for 'x' and solve for 'y':
[tex]\sf 4x+2y=16[/tex]
[tex]\sf 4(0)+2y=16[/tex]
Simplify:
[tex]\sf 2y=16[/tex]
Divide 2 to both sides:
[tex]\sf y=8[/tex]
So the y-intercept is (0, 8).
