Question
Find the equation of the line through the given pair (7,-4) (7,-10)
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GPT 3.5
The equation of a line can be found using the point-slope form, which is given by:
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
To find the slope (m), we can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the points (7, -4) and (7, -10), we have:
m = (-10 - (-4)) / (7 - 7)
m = (-10 + 4) / 0
The denominator is 0, which means that the line is a vertical line and its equation will be x = some value (since for a vertical line, the x coordinate is constant while the y varies).
In this case, x is always equal to 7 since both points have an x-coordinate of 7.
So, the equation is x = 7.
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
To find the slope (m), we can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the points (7, -4) and (7, -10), we have:
m = (-10 - (-4)) / (7 - 7)
m = (-10 + 4) / 0
The denominator is 0, which means that the line is a vertical line and its equation will be x = some value (since for a vertical line, the x coordinate is constant while the y varies).
In this case, x is always equal to 7 since both points have an x-coordinate of 7.
So, the equation is x = 7.
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