#GEOMETRY X HOW TO#

Well letвЂ™s think about this.ДЇirst of all, letвЂ™s pretend that s is a positive number, weвЂ™ll look at that case first. So the x-intercept = s, and the y-intercept = s, and we want to know whatвЂ™s the slope of the line. And notice that they have the same numerical values. Okay, so weвЂ™re given the x and the y-intercepts of this line. HereвЂ™s a practice problem, pause the video and then weвЂ™ll talk about this. Similarly any point that has an X x-coordinate of 0 has to be on the y-axis, so it has to be a y-intercept. Because any point on the line that has a y-intercept of 0 has to be on the x-axis, it has to be the x-intercept. And notice weвЂ™re giving intercepts there. So we could say line A passes through (5,0) and (0, -3). We could also state those in a very different way, we could state them as points. The intercepts can be stated as equations So we could say x-intercept = 5, and y-intercept = -3 for some point. Simplify the math, divide by -6, we get the fraction, negative one-half, that is the y-intercept of the line. Now weвЂ™ll plug in x = 0 to find the y intercept. Then solve, we get 2x = 3 divide by 2, and we get the positive fraction, x = 3 halves. In other words, weвЂ™re gonna get the y-intercept. Similarly, if we plug x = 0 into the equation, weвЂ™re automatically gonna get a point on the y-axis. What this means is if we plug y = 0 into the equation, weвЂ™re gonna get a point on the x-axis, weвЂ™re gonna get the x-intercept. So in other words, any point on the x-axis has a y coordinate of 0.ДЄnd any point on the y-axis has an x coordinate of 0. Recall from the lesson on Vertical and Horizontal Lines that the equation for the x-axis is y=0, and the equation for he y-axis is x=0. HereвЂ™s an equation for example, suppose weвЂ™re given this equation and we need to find the x and/or the y-intercept. If we have the equation of a line, how do we find the intercepts?

#GEOMETRY X HOW TO#

Equation of a Line: How to Find X and Y Intercepts It has two different intercepts, and these points are enough to determine a unique line. Usually what happens is that if a slanted line doesnвЂ™t pass through the origin - it has an x-intercept in one place, and a y-intercept in another place. So thatвЂ™s the only time that a slanted line would have its x-intercept and y-intercept at exactly the same point. Any line that passes through the origin has both an x-intercept and y-intercept of zero. They donвЂ™t intersect the y-axis because theyвЂ™re parallel to it. Similarly, vertical lines only have an x-intercept. They donвЂ™t intersect the x-axis because theyвЂ™re parallel to it. Well, first of all, horizontal lines have only a y-intercept.

Geometry x