The y-intercept is found when x is set to 0.
Set x to equal 0 for both equations:
[tex]3(0) - 2y = -6[/tex]
[tex]-2y = -6[/tex]
Divide both sides by -2:
[tex]y = 3[/tex]
The y-intercept of this equation is 3, so the first line does not have the y-intercept of -2.
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[tex]0 + 2y = -2[/tex]
[tex]2y = -2[/tex]
Divide both sides by 2:
[tex]y = -1[/tex]
The y-intercept of this equation is -1, so the second line does not have the y-intercept of -2.
Neither line has a y-intercept of -2.
