3/28/2023 0 Comments Geometry x axisWe’re ready to consider the general equation for a line. It is for good reason that the number in front of the x is called the “slope.” As in skiing, the number determines the slope of the line. If we had written y = 1/2 x instead, the line would have been a little more horizontal than vertical. This is because we included the number 2 in the equation. The line is just a bit more vertical than horizontal. This line goes from the bottom left-hand side of the coordinate axes up to the right-hand side. We end up with a line one notch above the x-axis!įor our final example of a line. Locating these on our coordinate axes, we see that all we are doing is drawing a line parallel to the y-axis, but to the right one notch! Let’s draw some points to demonstrate what we mean. This equation means that no matter what value y has, x has the value one. What does the general equation for a line look like? Before we discuss that, we’ll first consider three examples. Using it as a kind of mapping aid, we will draw the simplest of equations, that of a straight line. Coordinate Axes: Equation of a Line – Examples For the y-axis, the 1, 2, 3, and such go upward, whereas the -1, -2, -3 and the rest go downwards. To the left of that point, write, -1, -2, -3, and so on. ![]() ![]() If the place where the two lines cross is the zero point or origin, its coordinates (x, y) are simply, (0, 0).Īlong the horizontal x-axis, starting to the right of the (0, 0) point, write little numbers like a ruler has, 1, 2, 3, and so forth. ![]() The vertical line represents the “y-axis,” and the horizontal line represents the “x-axis.” Using these two axes, every point on the paper can be given a value that defines where the point is. In analytical geometry (usually taught in high school), two lines are drawn on a paper that are perpendicular to each other.
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