3 Answers By Expert Tutors Vertical lines: lines that run up and down. If you are standing up then you are vertical. On a graph the x-axis has little marks that run up and down or "vertical." Since the x-axis has lines that run vertical then if you have a point use you x-ordinate (x number). Therefore; in the point (4, -3), your vertical line is x = 4. In the point (2, 10), can you determine the vertical line ... Right you figured it out x = 2. For vertical line just take the other number and write y =. Good luck.
Carlos M. answered • 04/02/13 Multiple Grads+Experience for Effective Math/Italian/Spanish Tutoring
Problem: The equation of the vertical line that passes through the point (4, -3). Solution: x = 4 To understand why, please read the following step by step solution 1. Read, understand the situation, identify and pull out important information.
2. Translate each of the keywords in the problem to their appropriate mathematical symbols. Every point of a line is identified by its coordinates (x,y). All points of this vertical line passing through (4,-3) have the same x coordinate “4”. x = 4. 3. Set up and solve the equation: x = 4 The equation of the vertical line passing through (4,-3). It's true only when the value of coordinate x is “4”, for any value of "y". 4. Verify your answer.
m = RISE /RUN;RISE = any; RUN = 0 because when going from point (4,-3) to another point on the vertical line x = 0, as we don't move horizontally (just vertically)! slope (m) = RISE/RUN; m = RISE / 0 ; the slope is undefined So our line represented by x = 4 is a vertical line!
A = 0, B = 1, C = 4 0y + x = 4; x = 4 Represents the standard form equation of the requested vertical line. No matter what the y-value is, the x-value is always a constant value “4”, “x” does not change: varying "y" we move vertical to x-axis. 5. Curiosities:
Erin D. answered • 02/14/13 Efficient, Excellent Tutoring for Teens and Adults
A vertical line passing through the point (4, -3) means that for any value of y, x is always going to be equal to 4; the formula may be generally written as x = a where a is the x-intercept.. An x-intercept is the value of x when y = 0. As we already stated, for any value of y, x = 4. Therefore, this vertical line will pass through the point (4,0). You can write the equation as x = 4. Graphing this equation in a graphing calculator requires you to "trick" the graphing calculator because in the "graph" menu you only have the option of writing in equations in the form y =, which you can't do for this problem. If out try to type in y1=x-4, you won't get a vertical line, you will get a line with as slope of 1 that passes through the point (0,-4). What you need to do is type the equation in as follows y1= (really big number)(x-4) = 100000(x-4), thereby giving you a "workable" vertical line.
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