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YES, all linear equations have x-intercepts. because of the x, y has to be there 2!
It is the vertical y axis on the Cartesian plane that intercepts the horizontal x axis at 90 degrees at the origin (0, 0)
the x is dependent and the y is independent and the x numbers cant repeat themself and yes they do have intercepts
X intercept: -5 Y intercept: +3
Then there is no x-intercept. No big deal. Lots of functions do not have x- intercepts. For example, y = x2 + 1 or y = 2x