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How Do You Write an Equation for a Vertical Line?

Write the equation of a vertical line through (2,-1)

Summary

  1. Now that we solved for 'b', we plug that value into the vertical line equation 'x=b'
  2. We want the equation of the vertical line going through the point (2,-1)
  3. The vertical line equation is 'x=b', where 'b' represents some number along the x-axis
  4. The 'x' that we know is the x-coordinate of the point (2,-1), which is '2'
  5. For vertical lines, we can solve for 'b' by simply plugging in our x-coordinate in for 'x'
  6. Now that we solved for 'b', we plug that value into the vertical line equation 'x=b'

Notes

    1. We want to accurately graph a vertical line through the point (2,-1)
    1. We want to accurately graph a vertical line through the point (2,-1)
    1. 'x=b' is the form of the equation that a vertical line will have
    2. For 'x=b', the 'b' is really what will change with each equation
    3. So a vertical line (straight up and down) will always intersect the x-axis, since the equation is 'x=b'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. For 'x=b', the 'b' is really what will change with each equation
    3. So a vertical line (straight up and down) will always intersect the x-axis, since the equation is 'x=b'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. For 'x=b', the 'b' is really what will change with each equation
    3. So a vertical line (straight up and down) will always intersect the x-axis, since the equation is 'x=b'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. For 'x=b', the 'b' is really what will change with each equation
    3. So a vertical line (straight up and down) will always intersect the x-axis, since the equation is 'x=b'
    4. Our point (2,-1), contains the value for 'x', it's '2'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. The '2' in (2,-1) is the x-coordinate
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    4. The problem says the vertical line passes through the point (2,-1)
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    4. The problem says the vertical line passes through the point (2,-1)
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    4. The problem says the vertical line passes through the point (2,-1)
    5. Plugging in '2' for 'x' in the vertical line equation gives us: '2=b'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    4. The problem says the vertical line passes through the point (2,-1)
    5. Plugging in '2' for 'x' in the vertical line equation gives us: '2=b'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    4. The problem says the vertical line passes through the point (2,-1)
    5. Plugging in '2' for 'x' in the vertical line equation gives us: '2=b'
    1. 'x=b' is the form of the equation that a vertical line will have
    2. Our point (2,-1), contains the value for 'x', it's '2'
    3. The '2' in (2,-1) is the x-coordinate
    4. The problem says the vertical line passes through the point (2,-1)
    5. Plugging in '2' for 'x' in the vertical line equation gives us: '2=b'
    1. 'x=b' is the form of the equation the vertical line will have
    1. 'x=b' is the form of the equation the vertical line will have
    2. Plugging in '2' for 'x' in the vertical line equation gives us: '2=b'
    3. Now we plug '2' in for 'b' and get the final equation: 'x=2'
    1. 'x=b' is the form of the equation the vertical line will have
    2. Plugging in '2' for 'x' in the vertical line equation gives us: '2=b'
    3. Now we plug '2' in for 'b' and get the final equation: 'x=2'
    1. For 'x=b', the 'b' is really what will change with each equation
    2. Our x-coordinate was '2', so we solved for 'b' using this and were able to get the final equation: 'x=2'
    1. For 'x=b', the 'b' is really what will change with each equation
    2. Our x-coordinate was '2', so we solved for 'b' using this and were able to get the final equation: 'x=2'
    1. In other words, every point on the line will have an x-coordinate of '2'