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(A) Find the slope of the line thet passes through the given points.
(B) Find the point-slope form of the equation of the line.
© Find the slope-intercept form of the equation of the line.
(D) Find the standard form of the equation of the line.
( 4,5 ) and (4,12)
(A) Choose the correct answer for the slope below.
O. (Type an integer or a simplified fraction.)
O B. The slope is not defined.

Ask by Pena Crawford. in the United States
Jan 21,2025

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(A) The slope is not defined.

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Bonus Knowledge

The slope of the line that passes through the points (4, 5) and (4, 12) is indeed not defined! That’s because both points have the same x-coordinate, which means the line is vertical, and vertical lines don’t have a slope in the traditional sense. You can think of it like a tightrope walker on a perfectly upright pole—there’s no way to tilt or slide down!
Now, when it comes to point-slope form, in this case, you would start with the x-coordinate, which is 4. The equation can be written as . For slope-intercept and standard form, you’re looking at a vertical line again, so in slope-intercept form, there’s no slope (m). Hence, it remains in both cases! How neat is that?

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