The line will pass through the y axis at the point 0,b. The line will never pass through the x axis. For this question, I'll assume you're talking about a normal linear function a polynomial with a degree of 0 or 1.
Since we know that the line will go on infinitely, if it has any slant at all it will eventually intersect one of the axes. However, some lines have no slant at all. If a line is parallel to one of the axes, then it will never intersect that axis. Module Graphs. Search for:. Identifying the Intercepts on the Graph of a Line Learning Outcomes Identify the x and y-intercepts of a line given in equation form Identify the x and y-intercepts of a line given in graph form. Licenses and Attributions.
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Related 3. Hot Network Questions. Mathematics Stack Exchange works best with JavaScript enabled. Video transcript The graph of the line 2y plus 3x equals 7 is given right over here. Determine its x-intercept. The x-intercept is the x value when y is equal to 0, or it's the x value where our graph actually intersects the x-axis.
Notice right over here our y value is exactly 0. We're sitting on the x-axis. So let's think about what this x value must be. Well, just trying to eyeball a little bit, it's a little over 2.
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