When x = 4 is graphed in an xy plane, it is easy to see why a vertical line is formed. At every value of y, x = 4. Plot enough points like this on your graph and you will soon form a vertical line.
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A line with the equation:x = a constant valueis a vertical line. Examples of such a line are x = 3, x = 5, x = 10, x = -4.The slope of a vertical line is infinite.
X = 4 is a vertical line, 4 units to the right of the y-axis.
No. A horizontal line has a slope of 0. A vertical line has an undefined slope. Let's say you have a vertical line with the points (3,-2) and (3,4). The slope is (y1-y2)/(x1-x2) = (-2-4)/(3-3) = -6/0 = undefined. Notice that x is the same for both points. A line in which all points have the same value for x is a vertical line and as such has an undefined slope.
On a typical graph, the vertical line is the y-axis, they horizontal line is the x-axis.
Every point on the line x=4 will have to have an x value of 4. When plotting a graph of x=4, you will find that it turns out to be a vertical line, parallel to the y axis. This is because you can choose whatever y coordinate you want, but as long as the x coordinate is 4, it will be on the line x=4. The x intercept will, therefore, be 4. There is no y intercept as it never crosses the y axis.