What is the equation of a vertical line passing through the point (-4, 7)?

Solution:

It is given that line is vertical, hence the slope of the line is equal to infinity or 1 / 0.

Now let us consider that line passes through (-4,7) and (x, y)

Thus, using the slope formula,

(y - 7) / (x + 4) = 1 / 0

⇒ x + 4 = 0

⇒ x = -4

Hence, the equation of the line passing through the point (-4, 7) is x = -4.

What is the equation of a vertical line passing through the point (-4, 7)?

Summary:

The equation of a vertical line passing through the point (-4, 7) is x = -4.