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How do you write an equation of the line in point slope form with (3,-4) (3,4)?

Answer 1

Eva Abramson

Write equation of the line y = ax + b

Equation of the line: x = 3. Both points are on the vertical at x = 3.

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Answer 2

Ethan Adkins

To write the equation of a line in point-slope form using two points, (3, -4) and (3, 4), first, find the slope using the formula:

[ \text{Slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]

Given the points (3, -4) and (3, 4), the x-coordinates are the same, so the denominator will be 0. Therefore, the slope is undefined, indicating a vertical line passing through x = 3.

The equation of the line in point-slope form is:

[ x = 3 ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.