Difference between revisions of "X-intercept"
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| − | The '''x-intercept''' is the point at which a [[line]] intersects the [[x-axis]]. See also | + | [[Image:Line.png|right|thumb|pxl=200|intercepts]] |
| + | The '''x-intercept''' is the x-coordinate of the point at which a [[line]] intersects the [[x-axis]]. If the line is represented in the point-slope form, i.e., <math> y = m \cdot x +b</math> and <math>m \neq 0</math>, then the ''x-intercept'' is <math>-b/m</math>. if <math> m = 0</math>, the line doesn't cross the x-axis (case <math>b \neq 0</math>) - so there is no intersection, or the line is identical to the x-axis (case <math>b = 0</math>). | ||
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| + | {{See also|y-intercept}} | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Latest revision as of 21:57, July 13, 2016
The x-intercept is the x-coordinate of the point at which a line intersects the x-axis. If the line is represented in the point-slope form, i.e., and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m \neq 0} , then the x-intercept is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -b/m} . if Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m = 0} , the line doesn't cross the x-axis (case Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b \neq 0} ) - so there is no intersection, or the line is identical to the x-axis (case Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b = 0} ).
- See also: y-intercept