Is it possible for a line to have no x-intercept and no y-intercept? | Socratic (2024)

A line can have no x-intercept or no y-intercept, but not both.

See Also
Simple Interest: Definition, Formulas, Takeaways and QuestionsIntercept Form - Definition, Formula, Equation, ExamplesInterpreting the y-intercept of a LineIntro to slope-intercept form (y=mx+b) | Algebra (video) | Khan Academy

The x-intercept is where a line crosses the x-axis. The y-axis is where a line crosses the y-axis.

The equation of a vertical line is #x=h#. A vertical line crosses the x-axis, but not the y-axis, as long as #x!=0#. For example, a vertical line such as #x=-4# has an x-intercept of #(-4,0)#, but there is no y-intercept because the line does not cross the y-axis.

Is it possible for a line to have no x-intercept and no y-intercept? | Socratic (1)

The equation of a horizontal line is #y=k#. A horizontal line crosses the y-axis, but not the x-axis, as long as #y!=0#. For example, a horizontal line such as #y=-3# has a y-intercept of #(0,-3)#, but there is no x-intercept because the line does not cross the x-axis.

Is it possible for a line to have no x-intercept and no y-intercept? | Socratic (2)

http://algebralab.org/lessons/lesson.aspx?file=Algebra_LinearEqIntercepts.xml

Is it possible for a line to have no x-intercept and no y-intercept? | Socratic (2024)
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