Question

What is the slope and equation of a line that is perpendicular to the y-axis and passes through the point (3,12)


A. The slope is undefined and the equation of the line is y=12.


B. The slope is zero and the equation of the line is x=3.


C. The dlope is zero and the equation of the line is y=12.


D. The slope is undefined and the equation of the line is x=3.

Answer 1

Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.

What is equation of line?

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.

Here,

Since the Y-axis is vertical, a line perpendicular to it would be horizontal..  The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.

If we start with the slope-intercept form of an equation of a line

Y = mX + b,

we can write Y = 0X + (12)

Y =12

Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.

To know more about equation,

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