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In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y and an x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. The X-Intercept Formula of a line Ax + By = C is, \ [\large x=\frac {C} {A}\]
The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation [latex]y=3x - 1[/latex].
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Jun 20, 2024 · X-Intercept. The point of intersection of a line and the x-axis is called the x-intercept and in the above diagram, Point A(a, 0) represents the x-intercepts of the line. The y-coordinate of the x-intercept is always 0. Thus, the general form of x-intercept is (x, 0) Y-intercept
Finding Intercepts From an Equation. X Intercept: where the graph of an equation crosses the x-axis. Y Intercept: where the graph of an equation crosses the y-axis. To find the intercepts: When you want the x intercepts (x,0): When you want the y intercepts (0,y): Example: Find the intercepts of y = x 2 − 4. x intercept: set y=0.
The points of the intecepts are (2,0) and (0,5). to find the equation of the line, you need to put it into slope-intercept form which is y=mx+b, where m is the slope and b is the y intercept. to find the slope you do 5-0 where you subtract the second y (5) from the first y (0). you put that over 0-2, where you subtract the first x (2) from the ...
- 4 min
- Sal Khan,Monterey Institute for Technology and Education
